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Finding the Fourth Proportional to 532.58, 798.13 and 298.10

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Solution

The fourth proportional to 532.58, 798.13 and 298.10 is: 446.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.58 : 798.13 = 298.10 : x
  2. Step 2: Convert to fraction form
    532.58/798.13 = 298.10/x
  3. Step 3: Cross multiply
    532.58x = 798.13 × 298.10
  4. Step 4: Simplify right side
    532.58x = 237,923.80
  5. Step 5: Solve for x
    x = 237,923.80/532.58
  6. Step 6: Final answer
    x = 446.74

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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.