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Finding the Fourth Proportional to 567.28, 784.38 and 541

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Solution

The fourth proportional to 567.28, 784.38 and 541 is: 748.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.28 : 784.38 = 541 : x
  2. Step 2: Convert to fraction form
    567.28/784.38 = 541/x
  3. Step 3: Cross multiply
    567.28x = 784.38 × 541
  4. Step 4: Simplify right side
    567.28x = 424,349.58
  5. Step 5: Solve for x
    x = 424,349.58/567.28
  6. Step 6: Final answer
    x = 748.04

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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.