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Finding the Fourth Proportional to 657.32, 907.32 and 436.64

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Solution

The fourth proportional to 657.32, 907.32 and 436.64 is: 602.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.32 : 907.32 = 436.64 : x
  2. Step 2: Convert to fraction form
    657.32/907.32 = 436.64/x
  3. Step 3: Cross multiply
    657.32x = 907.32 × 436.64
  4. Step 4: Simplify right side
    657.32x = 396,172.20
  5. Step 5: Solve for x
    x = 396,172.20/657.32
  6. Step 6: Final answer
    x = 602.71

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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.