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Finding the Fourth Proportional to 532.38, 798.69 and 258.70

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Solution

The fourth proportional to 532.38, 798.69 and 258.70 is: 388.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.38 : 798.69 = 258.70 : x
  2. Step 2: Convert to fraction form
    532.38/798.69 = 258.70/x
  3. Step 3: Cross multiply
    532.38x = 798.69 × 258.70
  4. Step 4: Simplify right side
    532.38x = 206,621.10
  5. Step 5: Solve for x
    x = 206,621.10/532.38
  6. Step 6: Final answer
    x = 388.11

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