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Finding the Fourth Proportional to 409.81, 565.35 and 270.10

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Solution

The fourth proportional to 409.81, 565.35 and 270.10 is: 372.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.81 : 565.35 = 270.10 : x
  2. Step 2: Convert to fraction form
    409.81/565.35 = 270.10/x
  3. Step 3: Cross multiply
    409.81x = 565.35 × 270.10
  4. Step 4: Simplify right side
    409.81x = 152,701.04
  5. Step 5: Solve for x
    x = 152,701.04/409.81
  6. Step 6: Final answer
    x = 372.61

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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.