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Finding the Fourth Proportional to 448.84, 672.30 and 242.92

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Solution

The fourth proportional to 448.84, 672.30 and 242.92 is: 363.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.84 : 672.30 = 242.92 : x
  2. Step 2: Convert to fraction form
    448.84/672.30 = 242.92/x
  3. Step 3: Cross multiply
    448.84x = 672.30 × 242.92
  4. Step 4: Simplify right side
    448.84x = 163,315.12
  5. Step 5: Solve for x
    x = 163,315.12/448.84
  6. Step 6: Final answer
    x = 363.86

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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.