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Finding the Fourth Proportional to 475.66, 657.03 and 410.14

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Solution

The fourth proportional to 475.66, 657.03 and 410.14 is: 566.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.66 : 657.03 = 410.14 : x
  2. Step 2: Convert to fraction form
    475.66/657.03 = 410.14/x
  3. Step 3: Cross multiply
    475.66x = 657.03 × 410.14
  4. Step 4: Simplify right side
    475.66x = 269,474.28
  5. Step 5: Solve for x
    x = 269,474.28/475.66
  6. Step 6: Final answer
    x = 566.53

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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.