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Finding the Fourth Proportional to 567.29, 782.92 and 346.27

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Solution

The fourth proportional to 567.29, 782.92 and 346.27 is: 477.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.29 : 782.92 = 346.27 : x
  2. Step 2: Convert to fraction form
    567.29/782.92 = 346.27/x
  3. Step 3: Cross multiply
    567.29x = 782.92 × 346.27
  4. Step 4: Simplify right side
    567.29x = 271,101.71
  5. Step 5: Solve for x
    x = 271,101.71/567.29
  6. Step 6: Final answer
    x = 477.89

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Why These Related Problems?

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