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Finding the Fourth Proportional to 515.14, 711.16 and 365.90

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Solution

The fourth proportional to 515.14, 711.16 and 365.90 is: 505.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.14 : 711.16 = 365.90 : x
  2. Step 2: Convert to fraction form
    515.14/711.16 = 365.90/x
  3. Step 3: Cross multiply
    515.14x = 711.16 × 365.90
  4. Step 4: Simplify right side
    515.14x = 260,208.97
  5. Step 5: Solve for x
    x = 260,208.97/515.14
  6. Step 6: Final answer
    x = 505.13

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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.