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Finding the Fourth Proportional to 532.85, 797.49 and 391.37

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Solution

The fourth proportional to 532.85, 797.49 and 391.37 is: 585.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.85 : 797.49 = 391.37 : x
  2. Step 2: Convert to fraction form
    532.85/797.49 = 391.37/x
  3. Step 3: Cross multiply
    532.85x = 797.49 × 391.37
  4. Step 4: Simplify right side
    532.85x = 312,109.67
  5. Step 5: Solve for x
    x = 312,109.67/532.85
  6. Step 6: Final answer
    x = 585.74

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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.