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Finding the Fourth Proportional to 532.43, 798.95 and 258.58

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Solution

The fourth proportional to 532.43, 798.95 and 258.58 is: 388.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.43 : 798.95 = 258.58 : x
  2. Step 2: Convert to fraction form
    532.43/798.95 = 258.58/x
  3. Step 3: Cross multiply
    532.43x = 798.95 × 258.58
  4. Step 4: Simplify right side
    532.43x = 206,592.49
  5. Step 5: Solve for x
    x = 206,592.49/532.43
  6. Step 6: Final answer
    x = 388.02

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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.