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Finding the Fourth Proportional to 545.90, 814.50 and 533.43

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Solution

The fourth proportional to 545.90, 814.50 and 533.43 is: 795.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.90 : 814.50 = 533.43 : x
  2. Step 2: Convert to fraction form
    545.90/814.50 = 533.43/x
  3. Step 3: Cross multiply
    545.90x = 814.50 × 533.43
  4. Step 4: Simplify right side
    545.90x = 434,478.74
  5. Step 5: Solve for x
    x = 434,478.74/545.90
  6. Step 6: Final answer
    x = 795.90

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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.