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Finding the Fourth Proportional to 545.67, 752.70 and 509.22

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Solution

The fourth proportional to 545.67, 752.70 and 509.22 is: 702.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.67 : 752.70 = 509.22 : x
  2. Step 2: Convert to fraction form
    545.67/752.70 = 509.22/x
  3. Step 3: Cross multiply
    545.67x = 752.70 × 509.22
  4. Step 4: Simplify right side
    545.67x = 383,289.89
  5. Step 5: Solve for x
    x = 383,289.89/545.67
  6. Step 6: Final answer
    x = 702.42

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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.