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Finding the Fourth Proportional to 410.27, 566.80 and 345.87

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Solution

The fourth proportional to 410.27, 566.80 and 345.87 is: 477.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.27 : 566.80 = 345.87 : x
  2. Step 2: Convert to fraction form
    410.27/566.80 = 345.87/x
  3. Step 3: Cross multiply
    410.27x = 566.80 × 345.87
  4. Step 4: Simplify right side
    410.27x = 196,038.25
  5. Step 5: Solve for x
    x = 196,038.25/410.27
  6. Step 6: Final answer
    x = 477.83

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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.