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Finding the Fourth Proportional to 545.42, 752.29 and 379.67

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Solution

The fourth proportional to 545.42, 752.29 and 379.67 is: 523.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.42 : 752.29 = 379.67 : x
  2. Step 2: Convert to fraction form
    545.42/752.29 = 379.67/x
  3. Step 3: Cross multiply
    545.42x = 752.29 × 379.67
  4. Step 4: Simplify right side
    545.42x = 285,621.94
  5. Step 5: Solve for x
    x = 285,621.94/545.42
  6. Step 6: Final answer
    x = 523.67

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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.