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Finding the Fourth Proportional to 545.06, 752.17 and 305.80

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Solution

The fourth proportional to 545.06, 752.17 and 305.80 is: 422.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.06 : 752.17 = 305.80 : x
  2. Step 2: Convert to fraction form
    545.06/752.17 = 305.80/x
  3. Step 3: Cross multiply
    545.06x = 752.17 × 305.80
  4. Step 4: Simplify right side
    545.06x = 230,013.59
  5. Step 5: Solve for x
    x = 230,013.59/545.06
  6. Step 6: Final answer
    x = 422.00

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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.