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Finding the Fourth Proportional to 447.57, 670.98 and 242.10

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Solution

The fourth proportional to 447.57, 670.98 and 242.10 is: 362.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.57 : 670.98 = 242.10 : x
  2. Step 2: Convert to fraction form
    447.57/670.98 = 242.10/x
  3. Step 3: Cross multiply
    447.57x = 670.98 × 242.10
  4. Step 4: Simplify right side
    447.57x = 162,444.26
  5. Step 5: Solve for x
    x = 162,444.26/447.57
  6. Step 6: Final answer
    x = 362.95

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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.