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Finding the Fourth Proportional to 410.61, 566.83 and 292.83

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Solution

The fourth proportional to 410.61, 566.83 and 292.83 is: 404.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.61 : 566.83 = 292.83 : x
  2. Step 2: Convert to fraction form
    410.61/566.83 = 292.83/x
  3. Step 3: Cross multiply
    410.61x = 566.83 × 292.83
  4. Step 4: Simplify right side
    410.61x = 165,983.07
  5. Step 5: Solve for x
    x = 165,983.07/410.61
  6. Step 6: Final answer
    x = 404.24

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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.