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Finding the Fourth Proportional to 567.24, 782.82 and 346.20

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Solution

The fourth proportional to 567.24, 782.82 and 346.20 is: 477.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.24 : 782.82 = 346.20 : x
  2. Step 2: Convert to fraction form
    567.24/782.82 = 346.20/x
  3. Step 3: Cross multiply
    567.24x = 782.82 × 346.20
  4. Step 4: Simplify right side
    567.24x = 271,012.28
  5. Step 5: Solve for x
    x = 271,012.28/567.24
  6. Step 6: Final answer
    x = 477.77

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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.