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Finding the Fourth Proportional to 410.20, 565.98 and 250.77

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Solution

The fourth proportional to 410.20, 565.98 and 250.77 is: 346.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.20 : 565.98 = 250.77 : x
  2. Step 2: Convert to fraction form
    410.20/565.98 = 250.77/x
  3. Step 3: Cross multiply
    410.20x = 565.98 × 250.77
  4. Step 4: Simplify right side
    410.20x = 141,930.80
  5. Step 5: Solve for x
    x = 141,930.80/410.20
  6. Step 6: Final answer
    x = 346.00

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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.