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Finding the Fourth Proportional to 532.22, 798.50 and 258.34

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Solution

The fourth proportional to 532.22, 798.50 and 258.34 is: 387.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.22 : 798.50 = 258.34 : x
  2. Step 2: Convert to fraction form
    532.22/798.50 = 258.34/x
  3. Step 3: Cross multiply
    532.22x = 798.50 × 258.34
  4. Step 4: Simplify right side
    532.22x = 206,284.49
  5. Step 5: Solve for x
    x = 206,284.49/532.22
  6. Step 6: Final answer
    x = 387.59

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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.