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Finding the Fourth Proportional to 572.92, 858.18 and 283.78

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Solution

The fourth proportional to 572.92, 858.18 and 283.78 is: 425.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.92 : 858.18 = 283.78 : x
  2. Step 2: Convert to fraction form
    572.92/858.18 = 283.78/x
  3. Step 3: Cross multiply
    572.92x = 858.18 × 283.78
  4. Step 4: Simplify right side
    572.92x = 243,534.32
  5. Step 5: Solve for x
    x = 243,534.32/572.92
  6. Step 6: Final answer
    x = 425.08

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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.