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Finding the Fourth Proportional to 379.40, 568.64 and 242.16

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Solution

The fourth proportional to 379.40, 568.64 and 242.16 is: 362.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.40 : 568.64 = 242.16 : x
  2. Step 2: Convert to fraction form
    379.40/568.64 = 242.16/x
  3. Step 3: Cross multiply
    379.40x = 568.64 × 242.16
  4. Step 4: Simplify right side
    379.40x = 137,701.86
  5. Step 5: Solve for x
    x = 137,701.86/379.40
  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.