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Finding the Fourth Proportional to 545.76, 753.84 and 422.94

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Solution

The fourth proportional to 545.76, 753.84 and 422.94 is: 584.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.76 : 753.84 = 422.94 : x
  2. Step 2: Convert to fraction form
    545.76/753.84 = 422.94/x
  3. Step 3: Cross multiply
    545.76x = 753.84 × 422.94
  4. Step 4: Simplify right side
    545.76x = 318,829.09
  5. Step 5: Solve for x
    x = 318,829.09/545.76
  6. Step 6: Final answer
    x = 584.19

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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.