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Finding the Fourth Proportional to 415.60, 623.40 and 318.40

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Solution

The fourth proportional to 415.60, 623.40 and 318.40 is: 477.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.60 : 623.40 = 318.40 : x
  2. Step 2: Convert to fraction form
    415.60/623.40 = 318.40/x
  3. Step 3: Cross multiply
    415.60x = 623.40 × 318.40
  4. Step 4: Simplify right side
    415.60x = 198,490.56
  5. Step 5: Solve for x
    x = 198,490.56/415.60
  6. Step 6: Final answer
    x = 477.60

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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.