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Finding the Fourth Proportional to 545.49, 752.16 and 405.86

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Solution

The fourth proportional to 545.49, 752.16 and 405.86 is: 559.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.49 : 752.16 = 405.86 : x
  2. Step 2: Convert to fraction form
    545.49/752.16 = 405.86/x
  3. Step 3: Cross multiply
    545.49x = 752.16 × 405.86
  4. Step 4: Simplify right side
    545.49x = 305,267.90
  5. Step 5: Solve for x
    x = 305,267.90/545.49
  6. Step 6: Final answer
    x = 559.62

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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.