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Finding the Fourth Proportional to 545.49, 753.02 and 359.07

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Solution

The fourth proportional to 545.49, 753.02 and 359.07 is: 495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.49 : 753.02 = 359.07 : x
  2. Step 2: Convert to fraction form
    545.49/753.02 = 359.07/x
  3. Step 3: Cross multiply
    545.49x = 753.02 × 359.07
  4. Step 4: Simplify right side
    545.49x = 270,386.98
  5. Step 5: Solve for x
    x = 270,386.98/545.49
  6. Step 6: Final answer
    x = 495.68

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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.