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Finding the Fourth Proportional to 567.18, 782.86 and 346.24

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Solution

The fourth proportional to 567.18, 782.86 and 346.24 is: 477.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.18 : 782.86 = 346.24 : x
  2. Step 2: Convert to fraction form
    567.18/782.86 = 346.24/x
  3. Step 3: Cross multiply
    567.18x = 782.86 × 346.24
  4. Step 4: Simplify right side
    567.18x = 271,057.45
  5. Step 5: Solve for x
    x = 271,057.45/567.18
  6. Step 6: Final answer
    x = 477.90

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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.