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Finding the Fourth Proportional to 454.59, 681.29 and 235.02

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Solution

The fourth proportional to 454.59, 681.29 and 235.02 is: 352.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.59 : 681.29 = 235.02 : x
  2. Step 2: Convert to fraction form
    454.59/681.29 = 235.02/x
  3. Step 3: Cross multiply
    454.59x = 681.29 × 235.02
  4. Step 4: Simplify right side
    454.59x = 160,115.60
  5. Step 5: Solve for x
    x = 160,115.60/454.59
  6. Step 6: Final answer
    x = 352.22

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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.