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Finding the Fourth Proportional to 567.18, 782.78 and 346.16

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Solution

The fourth proportional to 567.18, 782.78 and 346.16 is: 477.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.18 : 782.78 = 346.16 : x
  2. Step 2: Convert to fraction form
    567.18/782.78 = 346.16/x
  3. Step 3: Cross multiply
    567.18x = 782.78 × 346.16
  4. Step 4: Simplify right side
    567.18x = 270,967.12
  5. Step 5: Solve for x
    x = 270,967.12/567.18
  6. Step 6: Final answer
    x = 477.74

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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.