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Finding the Fourth Proportional to 360.71, 497.49 and 242.64

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Solution

The fourth proportional to 360.71, 497.49 and 242.64 is: 334.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.71 : 497.49 = 242.64 : x
  2. Step 2: Convert to fraction form
    360.71/497.49 = 242.64/x
  3. Step 3: Cross multiply
    360.71x = 497.49 × 242.64
  4. Step 4: Simplify right side
    360.71x = 120,710.97
  5. Step 5: Solve for x
    x = 120,710.97/360.71
  6. Step 6: Final answer
    x = 334.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.