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Finding the Fourth Proportional to 567.43, 783.20 and 346.52

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Solution

The fourth proportional to 567.43, 783.20 and 346.52 is: 478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.43 : 783.20 = 346.52 : x
  2. Step 2: Convert to fraction form
    567.43/783.20 = 346.52/x
  3. Step 3: Cross multiply
    567.43x = 783.20 × 346.52
  4. Step 4: Simplify right side
    567.43x = 271,394.46
  5. Step 5: Solve for x
    x = 271,394.46/567.43
  6. Step 6: Final answer
    x = 478.29

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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.