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Finding the Fourth Proportional to 475.92, 657.36 and 410.40

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Solution

The fourth proportional to 475.92, 657.36 and 410.40 is: 566.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.92 : 657.36 = 410.40 : x
  2. Step 2: Convert to fraction form
    475.92/657.36 = 410.40/x
  3. Step 3: Cross multiply
    475.92x = 657.36 × 410.40
  4. Step 4: Simplify right side
    475.92x = 269,780.54
  5. Step 5: Solve for x
    x = 269,780.54/475.92
  6. Step 6: Final answer
    x = 566.86

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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.