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Finding the Fourth Proportional to 545.82, 751.30 and 539.74

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Solution

The fourth proportional to 545.82, 751.30 and 539.74 is: 742.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.82 : 751.30 = 539.74 : x
  2. Step 2: Convert to fraction form
    545.82/751.30 = 539.74/x
  3. Step 3: Cross multiply
    545.82x = 751.30 × 539.74
  4. Step 4: Simplify right side
    545.82x = 405,506.66
  5. Step 5: Solve for x
    x = 405,506.66/545.82
  6. Step 6: Final answer
    x = 742.93

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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.