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Finding the Fourth Proportional to 545.16, 815.90 and 371.40

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Solution

The fourth proportional to 545.16, 815.90 and 371.40 is: 555.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.16 : 815.90 = 371.40 : x
  2. Step 2: Convert to fraction form
    545.16/815.90 = 371.40/x
  3. Step 3: Cross multiply
    545.16x = 815.90 × 371.40
  4. Step 4: Simplify right side
    545.16x = 303,025.26
  5. Step 5: Solve for x
    x = 303,025.26/545.16
  6. Step 6: Final answer
    x = 555.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.