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Finding the Fourth Proportional to 517.46, 713.88 and 476.01

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Solution

The fourth proportional to 517.46, 713.88 and 476.01 is: 656.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.46 : 713.88 = 476.01 : x
  2. Step 2: Convert to fraction form
    517.46/713.88 = 476.01/x
  3. Step 3: Cross multiply
    517.46x = 713.88 × 476.01
  4. Step 4: Simplify right side
    517.46x = 339,814.02
  5. Step 5: Solve for x
    x = 339,814.02/517.46
  6. Step 6: Final answer
    x = 656.70

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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.