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Finding the Fourth Proportional to 567.82, 783.60 and 331.91

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Solution

The fourth proportional to 567.82, 783.60 and 331.91 is: 458.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.82 : 783.60 = 331.91 : x
  2. Step 2: Convert to fraction form
    567.82/783.60 = 331.91/x
  3. Step 3: Cross multiply
    567.82x = 783.60 × 331.91
  4. Step 4: Simplify right side
    567.82x = 260,084.68
  5. Step 5: Solve for x
    x = 260,084.68/567.82
  6. Step 6: Final answer
    x = 458.04

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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.