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Finding the Fourth Proportional to 545.91, 753.97 and 423.06

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Solution

The fourth proportional to 545.91, 753.97 and 423.06 is: 584.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.91 : 753.97 = 423.06 : x
  2. Step 2: Convert to fraction form
    545.91/753.97 = 423.06/x
  3. Step 3: Cross multiply
    545.91x = 753.97 × 423.06
  4. Step 4: Simplify right side
    545.91x = 318,971.46
  5. Step 5: Solve for x
    x = 318,971.46/545.91
  6. Step 6: Final answer
    x = 584.29

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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.