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Finding the Fourth Proportional to 486.30, 728.10 and 242.22

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Solution

The fourth proportional to 486.30, 728.10 and 242.22 is: 362.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.30 : 728.10 = 242.22 : x
  2. Step 2: Convert to fraction form
    486.30/728.10 = 242.22/x
  3. Step 3: Cross multiply
    486.30x = 728.10 × 242.22
  4. Step 4: Simplify right side
    486.30x = 176,360.38
  5. Step 5: Solve for x
    x = 176,360.38/486.30
  6. Step 6: Final answer
    x = 362.66

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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.