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Finding the Fourth Proportional to 657.44, 906.72 and 424.16

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Solution

The fourth proportional to 657.44, 906.72 and 424.16 is: 584.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.44 : 906.72 = 424.16 : x
  2. Step 2: Convert to fraction form
    657.44/906.72 = 424.16/x
  3. Step 3: Cross multiply
    657.44x = 906.72 × 424.16
  4. Step 4: Simplify right side
    657.44x = 384,594.36
  5. Step 5: Solve for x
    x = 384,594.36/657.44
  6. Step 6: Final answer
    x = 584.99

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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.