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Finding the Fourth Proportional to 532.48, 799.22 and 289.52

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Solution

The fourth proportional to 532.48, 799.22 and 289.52 is: 434.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.48 : 799.22 = 289.52 : x
  2. Step 2: Convert to fraction form
    532.48/799.22 = 289.52/x
  3. Step 3: Cross multiply
    532.48x = 799.22 × 289.52
  4. Step 4: Simplify right side
    532.48x = 231,390.17
  5. Step 5: Solve for x
    x = 231,390.17/532.48
  6. Step 6: Final answer
    x = 434.55

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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.