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Finding the Fourth Proportional to 545.53, 752.82 and 296.84

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Solution

The fourth proportional to 545.53, 752.82 and 296.84 is: 409.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.53 : 752.82 = 296.84 : x
  2. Step 2: Convert to fraction form
    545.53/752.82 = 296.84/x
  3. Step 3: Cross multiply
    545.53x = 752.82 × 296.84
  4. Step 4: Simplify right side
    545.53x = 223,467.09
  5. Step 5: Solve for x
    x = 223,467.09/545.53
  6. Step 6: Final answer
    x = 409.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.