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Finding the Fourth Proportional to 415.53, 574.08 and 354.06

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Solution

The fourth proportional to 415.53, 574.08 and 354.06 is: 489.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.53 : 574.08 = 354.06 : x
  2. Step 2: Convert to fraction form
    415.53/574.08 = 354.06/x
  3. Step 3: Cross multiply
    415.53x = 574.08 × 354.06
  4. Step 4: Simplify right side
    415.53x = 203,258.76
  5. Step 5: Solve for x
    x = 203,258.76/415.53
  6. Step 6: Final answer
    x = 489.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.