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Finding the Fourth Proportional to 545.19, 752.98 and 370.23

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Solution

The fourth proportional to 545.19, 752.98 and 370.23 is: 511.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.19 : 752.98 = 370.23 : x
  2. Step 2: Convert to fraction form
    545.19/752.98 = 370.23/x
  3. Step 3: Cross multiply
    545.19x = 752.98 × 370.23
  4. Step 4: Simplify right side
    545.19x = 278,775.79
  5. Step 5: Solve for x
    x = 278,775.79/545.19
  6. Step 6: Final answer
    x = 511.34

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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.