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Finding the Fourth Proportional to 319.31, 479.37 and 242.76

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Solution

The fourth proportional to 319.31, 479.37 and 242.76 is: 364.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.31 : 479.37 = 242.76 : x
  2. Step 2: Convert to fraction form
    319.31/479.37 = 242.76/x
  3. Step 3: Cross multiply
    319.31x = 479.37 × 242.76
  4. Step 4: Simplify right side
    319.31x = 116,373.20
  5. Step 5: Solve for x
    x = 116,373.20/319.31
  6. Step 6: Final answer
    x = 364.45

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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.