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Finding the Fourth Proportional to 385.11, 530.10 and 371.16

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Solution

The fourth proportional to 385.11, 530.10 and 371.16 is: 510.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.11 : 530.10 = 371.16 : x
  2. Step 2: Convert to fraction form
    385.11/530.10 = 371.16/x
  3. Step 3: Cross multiply
    385.11x = 530.10 × 371.16
  4. Step 4: Simplify right side
    385.11x = 196,751.92
  5. Step 5: Solve for x
    x = 196,751.92/385.11
  6. Step 6: Final answer
    x = 510.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.