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Finding the Fourth Proportional to 567.90, 784.17 and 402.30

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Solution

The fourth proportional to 567.90, 784.17 and 402.30 is: 555.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.90 : 784.17 = 402.30 : x
  2. Step 2: Convert to fraction form
    567.90/784.17 = 402.30/x
  3. Step 3: Cross multiply
    567.90x = 784.17 × 402.30
  4. Step 4: Simplify right side
    567.90x = 315,471.59
  5. Step 5: Solve for x
    x = 315,471.59/567.90
  6. Step 6: Final answer
    x = 555.51

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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.