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Finding the Fourth Proportional to 514.52, 710.61 and 475.64

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Solution

The fourth proportional to 514.52, 710.61 and 475.64 is: 656.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.52 : 710.61 = 475.64 : x
  2. Step 2: Convert to fraction form
    514.52/710.61 = 475.64/x
  3. Step 3: Cross multiply
    514.52x = 710.61 × 475.64
  4. Step 4: Simplify right side
    514.52x = 337,994.54
  5. Step 5: Solve for x
    x = 337,994.54/514.52
  6. Step 6: Final answer
    x = 656.91

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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.