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Finding the Fourth Proportional to 384.10, 579.29 and 371.77

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Solution

The fourth proportional to 384.10, 579.29 and 371.77 is: 560.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.10 : 579.29 = 371.77 : x
  2. Step 2: Convert to fraction form
    384.10/579.29 = 371.77/x
  3. Step 3: Cross multiply
    384.10x = 579.29 × 371.77
  4. Step 4: Simplify right side
    384.10x = 215,359.34
  5. Step 5: Solve for x
    x = 215,359.34/384.10
  6. Step 6: Final answer
    x = 560.69

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