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Finding the Fourth Proportional to 572.90, 858.92 and 284.12

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Solution

The fourth proportional to 572.90, 858.92 and 284.12 is: 425.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.90 : 858.92 = 284.12 : x
  2. Step 2: Convert to fraction form
    572.90/858.92 = 284.12/x
  3. Step 3: Cross multiply
    572.90x = 858.92 × 284.12
  4. Step 4: Simplify right side
    572.90x = 244,036.35
  5. Step 5: Solve for x
    x = 244,036.35/572.90
  6. Step 6: Final answer
    x = 425.97

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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.