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Finding the Fourth Proportional to 545.10, 814.04 and 534.30

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Solution

The fourth proportional to 545.10, 814.04 and 534.30 is: 797.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.10 : 814.04 = 534.30 : x
  2. Step 2: Convert to fraction form
    545.10/814.04 = 534.30/x
  3. Step 3: Cross multiply
    545.10x = 814.04 × 534.30
  4. Step 4: Simplify right side
    545.10x = 434,938.90
  5. Step 5: Solve for x
    x = 434,938.90/545.10
  6. Step 6: Final answer
    x = 797.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.