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Finding the Fourth Proportional to 515.52, 777.14 and 471.74

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Solution

The fourth proportional to 515.52, 777.14 and 471.74 is: 711.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.52 : 777.14 = 471.74 : x
  2. Step 2: Convert to fraction form
    515.52/777.14 = 471.74/x
  3. Step 3: Cross multiply
    515.52x = 777.14 × 471.74
  4. Step 4: Simplify right side
    515.52x = 366,603.72
  5. Step 5: Solve for x
    x = 366,603.72/515.52
  6. Step 6: Final answer
    x = 711.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.