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Finding the Fourth Proportional to 860.39, 1,290.13 and 340.37

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Solution

The fourth proportional to 860.39, 1,290.13 and 340.37 is: 510.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.39 : 1,290.13 = 340.37 : x
  2. Step 2: Convert to fraction form
    860.39/1,290.13 = 340.37/x
  3. Step 3: Cross multiply
    860.39x = 1,290.13 × 340.37
  4. Step 4: Simplify right side
    860.39x = 439,125.20
  5. Step 5: Solve for x
    x = 439,125.20/860.39
  6. Step 6: Final answer
    x = 510.38

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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.