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Finding the Fourth Proportional to 860.11, 1,290.18 and 312.34

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Solution

The fourth proportional to 860.11, 1,290.18 and 312.34 is: 468.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.11 : 1,290.18 = 312.34 : x
  2. Step 2: Convert to fraction form
    860.11/1,290.18 = 312.34/x
  3. Step 3: Cross multiply
    860.11x = 1,290.18 × 312.34
  4. Step 4: Simplify right side
    860.11x = 402,974.82
  5. Step 5: Solve for x
    x = 402,974.82/860.11
  6. Step 6: Final answer
    x = 468.52

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.