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Finding the Fourth Proportional to 567.17, 782.59 and 346.18

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Solution

The fourth proportional to 567.17, 782.59 and 346.18 is: 477.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.17 : 782.59 = 346.18 : x
  2. Step 2: Convert to fraction form
    567.17/782.59 = 346.18/x
  3. Step 3: Cross multiply
    567.17x = 782.59 × 346.18
  4. Step 4: Simplify right side
    567.17x = 270,917.01
  5. Step 5: Solve for x
    x = 270,917.01/567.17
  6. Step 6: Final answer
    x = 477.66

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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.