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Finding the Fourth Proportional to 545.14, 752.11 and 370.18

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Solution

The fourth proportional to 545.14, 752.11 and 370.18 is: 510.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.14 : 752.11 = 370.18 : x
  2. Step 2: Convert to fraction form
    545.14/752.11 = 370.18/x
  3. Step 3: Cross multiply
    545.14x = 752.11 × 370.18
  4. Step 4: Simplify right side
    545.14x = 278,416.08
  5. Step 5: Solve for x
    x = 278,416.08/545.14
  6. Step 6: Final answer
    x = 510.72

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Why These Related Problems?

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