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Finding the Fourth Proportional to 657.59, 906.53 and 517.46

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Solution

The fourth proportional to 657.59, 906.53 and 517.46 is: 713.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.59 : 906.53 = 517.46 : x
  2. Step 2: Convert to fraction form
    657.59/906.53 = 517.46/x
  3. Step 3: Cross multiply
    657.59x = 906.53 × 517.46
  4. Step 4: Simplify right side
    657.59x = 469,090.43
  5. Step 5: Solve for x
    x = 469,090.43/657.59
  6. Step 6: Final answer
    x = 713.35

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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.