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Finding the Fourth Proportional to 566.48, 782.76 and 392.48

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Solution

The fourth proportional to 566.48, 782.76 and 392.48 is: 542.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.48 : 782.76 = 392.48 : x
  2. Step 2: Convert to fraction form
    566.48/782.76 = 392.48/x
  3. Step 3: Cross multiply
    566.48x = 782.76 × 392.48
  4. Step 4: Simplify right side
    566.48x = 307,217.64
  5. Step 5: Solve for x
    x = 307,217.64/566.48
  6. Step 6: Final answer
    x = 542.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.