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Finding the Fourth Proportional to 567.87, 783.86 and 392.91

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Solution

The fourth proportional to 567.87, 783.86 and 392.91 is: 542.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.87 : 783.86 = 392.91 : x
  2. Step 2: Convert to fraction form
    567.87/783.86 = 392.91/x
  3. Step 3: Cross multiply
    567.87x = 783.86 × 392.91
  4. Step 4: Simplify right side
    567.87x = 307,984.47
  5. Step 5: Solve for x
    x = 307,984.47/567.87
  6. Step 6: Final answer
    x = 542.35

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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.