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Finding the Fourth Proportional to 436.08, 657.42 and 408.24

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Solution

The fourth proportional to 436.08, 657.42 and 408.24 is: 615.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.08 : 657.42 = 408.24 : x
  2. Step 2: Convert to fraction form
    436.08/657.42 = 408.24/x
  3. Step 3: Cross multiply
    436.08x = 657.42 × 408.24
  4. Step 4: Simplify right side
    436.08x = 268,385.14
  5. Step 5: Solve for x
    x = 268,385.14/436.08
  6. Step 6: Final answer
    x = 615.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.