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Finding the Fourth Proportional to 379, 568.14 and 297.64

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Solution

The fourth proportional to 379, 568.14 and 297.64 is: 446.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    379 : 568.14 = 297.64 : x
  2. Step 2: Convert to fraction form
    379/568.14 = 297.64/x
  3. Step 3: Cross multiply
    379x = 568.14 × 297.64
  4. Step 4: Simplify right side
    379x = 169,101.19
  5. Step 5: Solve for x
    x = 169,101.19/379
  6. Step 6: Final answer
    x = 446.18

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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.