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Finding the Fourth Proportional to 545.90, 753.42 and 359.32

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Solution

The fourth proportional to 545.90, 753.42 and 359.32 is: 495.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.90 : 753.42 = 359.32 : x
  2. Step 2: Convert to fraction form
    545.90/753.42 = 359.32/x
  3. Step 3: Cross multiply
    545.90x = 753.42 × 359.32
  4. Step 4: Simplify right side
    545.90x = 270,718.87
  5. Step 5: Solve for x
    x = 270,718.87/545.90
  6. Step 6: Final answer
    x = 495.91

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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.