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Finding the Fourth Proportional to 415.08, 621.54 and 337.50

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Solution

The fourth proportional to 415.08, 621.54 and 337.50 is: 505.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.08 : 621.54 = 337.50 : x
  2. Step 2: Convert to fraction form
    415.08/621.54 = 337.50/x
  3. Step 3: Cross multiply
    415.08x = 621.54 × 337.50
  4. Step 4: Simplify right side
    415.08x = 209,769.75
  5. Step 5: Solve for x
    x = 209,769.75/415.08
  6. Step 6: Final answer
    x = 505.37

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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.