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Finding the Fourth Proportional to 545.67, 753.27 and 359.16

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Solution

The fourth proportional to 545.67, 753.27 and 359.16 is: 495.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.67 : 753.27 = 359.16 : x
  2. Step 2: Convert to fraction form
    545.67/753.27 = 359.16/x
  3. Step 3: Cross multiply
    545.67x = 753.27 × 359.16
  4. Step 4: Simplify right side
    545.67x = 270,542.66
  5. Step 5: Solve for x
    x = 270,542.66/545.67
  6. Step 6: Final answer
    x = 495.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.