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Finding the Fourth Proportional to 410.32, 565.80 and 294.16

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Solution

The fourth proportional to 410.32, 565.80 and 294.16 is: 405.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.32 : 565.80 = 294.16 : x
  2. Step 2: Convert to fraction form
    410.32/565.80 = 294.16/x
  3. Step 3: Cross multiply
    410.32x = 565.80 × 294.16
  4. Step 4: Simplify right side
    410.32x = 166,435.73
  5. Step 5: Solve for x
    x = 166,435.73/410.32
  6. Step 6: Final answer
    x = 405.62

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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.