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Finding the Fourth Proportional to 355.89, 534.52 and 295.04

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Solution

The fourth proportional to 355.89, 534.52 and 295.04 is: 443.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.89 : 534.52 = 295.04 : x
  2. Step 2: Convert to fraction form
    355.89/534.52 = 295.04/x
  3. Step 3: Cross multiply
    355.89x = 534.52 × 295.04
  4. Step 4: Simplify right side
    355.89x = 157,702.53
  5. Step 5: Solve for x
    x = 157,702.53/355.89
  6. Step 6: Final answer
    x = 443.12

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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.