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Finding the Fourth Proportional to 657.10, 906.40 and 424.22

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Solution

The fourth proportional to 657.10, 906.40 and 424.22 is: 585.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.10 : 906.40 = 424.22 : x
  2. Step 2: Convert to fraction form
    657.10/906.40 = 424.22/x
  3. Step 3: Cross multiply
    657.10x = 906.40 × 424.22
  4. Step 4: Simplify right side
    657.10x = 384,513.01
  5. Step 5: Solve for x
    x = 384,513.01/657.10
  6. Step 6: Final answer
    x = 585.17

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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.