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Finding the Fourth Proportional to 572.24, 858.90 and 283.88

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Solution

The fourth proportional to 572.24, 858.90 and 283.88 is: 426.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.24 : 858.90 = 283.88 : x
  2. Step 2: Convert to fraction form
    572.24/858.90 = 283.88/x
  3. Step 3: Cross multiply
    572.24x = 858.90 × 283.88
  4. Step 4: Simplify right side
    572.24x = 243,824.53
  5. Step 5: Solve for x
    x = 243,824.53/572.24
  6. Step 6: Final answer
    x = 426.09

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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.