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Finding the Fourth Proportional to 514.67, 710.17 and 290.60

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Solution

The fourth proportional to 514.67, 710.17 and 290.60 is: 400.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.67 : 710.17 = 290.60 : x
  2. Step 2: Convert to fraction form
    514.67/710.17 = 290.60/x
  3. Step 3: Cross multiply
    514.67x = 710.17 × 290.60
  4. Step 4: Simplify right side
    514.67x = 206,371.79
  5. Step 5: Solve for x
    x = 206,371.79/514.67
  6. Step 6: Final answer
    x = 400.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.