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Finding the Fourth Proportional to 364.52, 545.49 and 298.71

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Solution

The fourth proportional to 364.52, 545.49 and 298.71 is: 447.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.52 : 545.49 = 298.71 : x
  2. Step 2: Convert to fraction form
    364.52/545.49 = 298.71/x
  3. Step 3: Cross multiply
    364.52x = 545.49 × 298.71
  4. Step 4: Simplify right side
    364.52x = 162,943.32
  5. Step 5: Solve for x
    x = 162,943.32/364.52
  6. Step 6: Final answer
    x = 447.01

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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.