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Finding the Fourth Proportional to 475.84, 657.13 and 409.72

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Solution

The fourth proportional to 475.84, 657.13 and 409.72 is: 565.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.84 : 657.13 = 409.72 : x
  2. Step 2: Convert to fraction form
    475.84/657.13 = 409.72/x
  3. Step 3: Cross multiply
    475.84x = 657.13 × 409.72
  4. Step 4: Simplify right side
    475.84x = 269,237.83
  5. Step 5: Solve for x
    x = 269,237.83/475.84
  6. Step 6: Final answer
    x = 565.81

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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.