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Finding the Fourth Proportional to 545.76, 817.88 and 271.24

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Solution

The fourth proportional to 545.76, 817.88 and 271.24 is: 406.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.76 : 817.88 = 271.24 : x
  2. Step 2: Convert to fraction form
    545.76/817.88 = 271.24/x
  3. Step 3: Cross multiply
    545.76x = 817.88 × 271.24
  4. Step 4: Simplify right side
    545.76x = 221,840.40
  5. Step 5: Solve for x
    x = 221,840.40/545.76
  6. Step 6: Final answer
    x = 406.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.