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Finding the Fourth Proportional to 385.72, 532.50 and 298.12

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Solution

The fourth proportional to 385.72, 532.50 and 298.12 is: 411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.72 : 532.50 = 298.12 : x
  2. Step 2: Convert to fraction form
    385.72/532.50 = 298.12/x
  3. Step 3: Cross multiply
    385.72x = 532.50 × 298.12
  4. Step 4: Simplify right side
    385.72x = 158,748.90
  5. Step 5: Solve for x
    x = 158,748.90/385.72
  6. Step 6: Final answer
    x = 411.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.