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Finding the Fourth Proportional to 374.64, 562.04 and 294.16

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Solution

The fourth proportional to 374.64, 562.04 and 294.16 is: 441.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.64 : 562.04 = 294.16 : x
  2. Step 2: Convert to fraction form
    374.64/562.04 = 294.16/x
  3. Step 3: Cross multiply
    374.64x = 562.04 × 294.16
  4. Step 4: Simplify right side
    374.64x = 165,329.69
  5. Step 5: Solve for x
    x = 165,329.69/374.64
  6. Step 6: Final answer
    x = 441.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.