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Finding the Fourth Proportional to 415.64, 623.46 and 232.76

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Solution

The fourth proportional to 415.64, 623.46 and 232.76 is: 349.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.64 : 623.46 = 232.76 : x
  2. Step 2: Convert to fraction form
    415.64/623.46 = 232.76/x
  3. Step 3: Cross multiply
    415.64x = 623.46 × 232.76
  4. Step 4: Simplify right side
    415.64x = 145,116.55
  5. Step 5: Solve for x
    x = 145,116.55/415.64
  6. Step 6: Final answer
    x = 349.14

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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.