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Finding the Fourth Proportional to 297.39, 448.27 and 285.04

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Solution

The fourth proportional to 297.39, 448.27 and 285.04 is: 429.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.39 : 448.27 = 285.04 : x
  2. Step 2: Convert to fraction form
    297.39/448.27 = 285.04/x
  3. Step 3: Cross multiply
    297.39x = 448.27 × 285.04
  4. Step 4: Simplify right side
    297.39x = 127,774.88
  5. Step 5: Solve for x
    x = 127,774.88/297.39
  6. Step 6: Final answer
    x = 429.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.