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Finding the Fourth Proportional to 503.52, 754.00 and 298.24

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Solution

The fourth proportional to 503.52, 754.00 and 298.24 is: 446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.52 : 754.00 = 298.24 : x
  2. Step 2: Convert to fraction form
    503.52/754.00 = 298.24/x
  3. Step 3: Cross multiply
    503.52x = 754.00 × 298.24
  4. Step 4: Simplify right side
    503.52x = 224,873.16
  5. Step 5: Solve for x
    x = 224,873.16/503.52
  6. Step 6: Final answer
    x = 446.60

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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.