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Finding the Fourth Proportional to 545.68, 753.06 and 296.99

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Solution

The fourth proportional to 545.68, 753.06 and 296.99 is: 409.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.68 : 753.06 = 296.99 : x
  2. Step 2: Convert to fraction form
    545.68/753.06 = 296.99/x
  3. Step 3: Cross multiply
    545.68x = 753.06 × 296.99
  4. Step 4: Simplify right side
    545.68x = 223,650.35
  5. Step 5: Solve for x
    x = 223,650.35/545.68
  6. Step 6: Final answer
    x = 409.86

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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.