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Finding the Fourth Proportional to 312.84, 471.42 and 297.90

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Solution

The fourth proportional to 312.84, 471.42 and 297.90 is: 448.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.84 : 471.42 = 297.90 : x
  2. Step 2: Convert to fraction form
    312.84/471.42 = 297.90/x
  3. Step 3: Cross multiply
    312.84x = 471.42 × 297.90
  4. Step 4: Simplify right side
    312.84x = 140,436.02
  5. Step 5: Solve for x
    x = 140,436.02/312.84
  6. Step 6: Final answer
    x = 448.91

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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.