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Finding the Fourth Proportional to 567.16, 782.27 and 346.23

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Solution

The fourth proportional to 567.16, 782.27 and 346.23 is: 477.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.16 : 782.27 = 346.23 : x
  2. Step 2: Convert to fraction form
    567.16/782.27 = 346.23/x
  3. Step 3: Cross multiply
    567.16x = 782.27 × 346.23
  4. Step 4: Simplify right side
    567.16x = 270,846.86
  5. Step 5: Solve for x
    x = 270,846.86/567.16
  6. Step 6: Final answer
    x = 477.55

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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.