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Finding the Fourth Proportional to 634.31, 875.76 and 567.80

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Solution

The fourth proportional to 634.31, 875.76 and 567.80 is: 783.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.31 : 875.76 = 567.80 : x
  2. Step 2: Convert to fraction form
    634.31/875.76 = 567.80/x
  3. Step 3: Cross multiply
    634.31x = 875.76 × 567.80
  4. Step 4: Simplify right side
    634.31x = 497,253.69
  5. Step 5: Solve for x
    x = 497,253.69/634.31
  6. Step 6: Final answer
    x = 783.93

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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.