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Finding the Fourth Proportional to 486.02, 727.97 and 242.11

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Solution

The fourth proportional to 486.02, 727.97 and 242.11 is: 362.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.02 : 727.97 = 242.11 : x
  2. Step 2: Convert to fraction form
    486.02/727.97 = 242.11/x
  3. Step 3: Cross multiply
    486.02x = 727.97 × 242.11
  4. Step 4: Simplify right side
    486.02x = 176,248.82
  5. Step 5: Solve for x
    x = 176,248.82/486.02
  6. Step 6: Final answer
    x = 362.64

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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.