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Finding the Fourth Proportional to 657.04, 906.76 and 424.08

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Solution

The fourth proportional to 657.04, 906.76 and 424.08 is: 585.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.04 : 906.76 = 424.08 : x
  2. Step 2: Convert to fraction form
    657.04/906.76 = 424.08/x
  3. Step 3: Cross multiply
    657.04x = 906.76 × 424.08
  4. Step 4: Simplify right side
    657.04x = 384,538.78
  5. Step 5: Solve for x
    x = 384,538.78/657.04
  6. Step 6: Final answer
    x = 585.26

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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.