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Finding the Fourth Proportional to 571.92, 858.20 and 283.36

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Solution

The fourth proportional to 571.92, 858.20 and 283.36 is: 425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.92 : 858.20 = 283.36 : x
  2. Step 2: Convert to fraction form
    571.92/858.20 = 283.36/x
  3. Step 3: Cross multiply
    571.92x = 858.20 × 283.36
  4. Step 4: Simplify right side
    571.92x = 243,179.55
  5. Step 5: Solve for x
    x = 243,179.55/571.92
  6. Step 6: Final answer
    x = 425.20

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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.