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Finding the Fourth Proportional to 423.16, 633.28 and 292.56

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Solution

The fourth proportional to 423.16, 633.28 and 292.56 is: 437.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.16 : 633.28 = 292.56 : x
  2. Step 2: Convert to fraction form
    423.16/633.28 = 292.56/x
  3. Step 3: Cross multiply
    423.16x = 633.28 × 292.56
  4. Step 4: Simplify right side
    423.16x = 185,272.40
  5. Step 5: Solve for x
    x = 185,272.40/423.16
  6. Step 6: Final answer
    x = 437.83

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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.