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Finding the Fourth Proportional to 410.04, 565.69 and 270.24

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Solution

The fourth proportional to 410.04, 565.69 and 270.24 is: 372.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.04 : 565.69 = 270.24 : x
  2. Step 2: Convert to fraction form
    410.04/565.69 = 270.24/x
  3. Step 3: Cross multiply
    410.04x = 565.69 × 270.24
  4. Step 4: Simplify right side
    410.04x = 152,872.07
  5. Step 5: Solve for x
    x = 152,872.07/410.04
  6. Step 6: Final answer
    x = 372.82

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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.