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Finding the Fourth Proportional to 545.80, 753.68 and 459.12

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Solution

The fourth proportional to 545.80, 753.68 and 459.12 is: 633.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.80 : 753.68 = 459.12 : x
  2. Step 2: Convert to fraction form
    545.80/753.68 = 459.12/x
  3. Step 3: Cross multiply
    545.80x = 753.68 × 459.12
  4. Step 4: Simplify right side
    545.80x = 346,029.56
  5. Step 5: Solve for x
    x = 346,029.56/545.80
  6. Step 6: Final answer
    x = 633.99

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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.