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Finding the Fourth Proportional to 670.94, 1,006.25 and 341.66

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Solution

The fourth proportional to 670.94, 1,006.25 and 341.66 is: 512.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.94 : 1,006.25 = 341.66 : x
  2. Step 2: Convert to fraction form
    670.94/1,006.25 = 341.66/x
  3. Step 3: Cross multiply
    670.94x = 1,006.25 × 341.66
  4. Step 4: Simplify right side
    670.94x = 343,788.64
  5. Step 5: Solve for x
    x = 343,788.64/670.94
  6. Step 6: Final answer
    x = 512.40

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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.