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Finding the Fourth Proportional to 285.12, 429.57 and 282.69

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Solution

The fourth proportional to 285.12, 429.57 and 282.69 is: 425.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.12 : 429.57 = 282.69 : x
  2. Step 2: Convert to fraction form
    285.12/429.57 = 282.69/x
  3. Step 3: Cross multiply
    285.12x = 429.57 × 282.69
  4. Step 4: Simplify right side
    285.12x = 121,435.14
  5. Step 5: Solve for x
    x = 121,435.14/285.12
  6. Step 6: Final answer
    x = 425.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.