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Finding the Fourth Proportional to 657.43, 906.93 and 436.10

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Solution

The fourth proportional to 657.43, 906.93 and 436.10 is: 601.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.43 : 906.93 = 436.10 : x
  2. Step 2: Convert to fraction form
    657.43/906.93 = 436.10/x
  3. Step 3: Cross multiply
    657.43x = 906.93 × 436.10
  4. Step 4: Simplify right side
    657.43x = 395,507.64
  5. Step 5: Solve for x
    x = 395,507.64/657.43
  6. Step 6: Final answer
    x = 601.60

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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.