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Finding the Fourth Proportional to 515.15, 710.90 and 294.10

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Solution

The fourth proportional to 515.15, 710.90 and 294.10 is: 405.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.15 : 710.90 = 294.10 : x
  2. Step 2: Convert to fraction form
    515.15/710.90 = 294.10/x
  3. Step 3: Cross multiply
    515.15x = 710.90 × 294.10
  4. Step 4: Simplify right side
    515.15x = 209,073.55
  5. Step 5: Solve for x
    x = 209,073.55/515.15
  6. Step 6: Final answer
    x = 405.85

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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.