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Finding the Fourth Proportional to 567.35, 852.50 and 532.31

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Solution

The fourth proportional to 567.35, 852.50 and 532.31 is: 799.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.35 : 852.50 = 532.31 : x
  2. Step 2: Convert to fraction form
    567.35/852.50 = 532.31/x
  3. Step 3: Cross multiply
    567.35x = 852.50 × 532.31
  4. Step 4: Simplify right side
    567.35x = 453,797.74
  5. Step 5: Solve for x
    x = 453,797.74/567.35
  6. Step 6: Final answer
    x = 799.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.