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Finding the Fourth Proportional to 545.80, 816.54 and 498.28

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Solution

The fourth proportional to 545.80, 816.54 and 498.28 is: 745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.80 : 816.54 = 498.28 : x
  2. Step 2: Convert to fraction form
    545.80/816.54 = 498.28/x
  3. Step 3: Cross multiply
    545.80x = 816.54 × 498.28
  4. Step 4: Simplify right side
    545.80x = 406,865.55
  5. Step 5: Solve for x
    x = 406,865.55/545.80
  6. Step 6: Final answer
    x = 745.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.