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Finding the Fourth Proportional to 657.56, 906.98 and 424.64

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Solution

The fourth proportional to 657.56, 906.98 and 424.64 is: 585.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.56 : 906.98 = 424.64 : x
  2. Step 2: Convert to fraction form
    657.56/906.98 = 424.64/x
  3. Step 3: Cross multiply
    657.56x = 906.98 × 424.64
  4. Step 4: Simplify right side
    657.56x = 385,139.99
  5. Step 5: Solve for x
    x = 385,139.99/657.56
  6. Step 6: Final answer
    x = 585.71

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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.