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Finding the Fourth Proportional to 287.04, 429.72 and 281.92

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Solution

The fourth proportional to 287.04, 429.72 and 281.92 is: 422.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.04 : 429.72 = 281.92 : x
  2. Step 2: Convert to fraction form
    287.04/429.72 = 281.92/x
  3. Step 3: Cross multiply
    287.04x = 429.72 × 281.92
  4. Step 4: Simplify right side
    287.04x = 121,146.66
  5. Step 5: Solve for x
    x = 121,146.66/287.04
  6. Step 6: Final answer
    x = 422.05

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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.