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Finding the Fourth Proportional to 567.14, 845.00 and 529.88

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Solution

The fourth proportional to 567.14, 845.00 and 529.88 is: 789.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.14 : 845.00 = 529.88 : x
  2. Step 2: Convert to fraction form
    567.14/845.00 = 529.88/x
  3. Step 3: Cross multiply
    567.14x = 845.00 × 529.88
  4. Step 4: Simplify right side
    567.14x = 447,743.71
  5. Step 5: Solve for x
    x = 447,743.71/567.14
  6. Step 6: Final answer
    x = 789.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.