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Finding the Fourth Proportional to 485.93, 728.18 and 242.12

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Solution

The fourth proportional to 485.93, 728.18 and 242.12 is: 362.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.93 : 728.18 = 242.12 : x
  2. Step 2: Convert to fraction form
    485.93/728.18 = 242.12/x
  3. Step 3: Cross multiply
    485.93x = 728.18 × 242.12
  4. Step 4: Simplify right side
    485.93x = 176,306.94
  5. Step 5: Solve for x
    x = 176,306.94/485.93
  6. Step 6: Final answer
    x = 362.82

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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.