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Finding the Fourth Proportional to 545.44, 752.71 and 296.76

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Solution

The fourth proportional to 545.44, 752.71 and 296.76 is: 409.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.44 : 752.71 = 296.76 : x
  2. Step 2: Convert to fraction form
    545.44/752.71 = 296.76/x
  3. Step 3: Cross multiply
    545.44x = 752.71 × 296.76
  4. Step 4: Simplify right side
    545.44x = 223,374.22
  5. Step 5: Solve for x
    x = 223,374.22/545.44
  6. Step 6: Final answer
    x = 409.53

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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.