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Finding the Fourth Proportional to 364.47, 545.67 and 242.49

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Solution

The fourth proportional to 364.47, 545.67 and 242.49 is: 363.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.47 : 545.67 = 242.49 : x
  2. Step 2: Convert to fraction form
    364.47/545.67 = 242.49/x
  3. Step 3: Cross multiply
    364.47x = 545.67 × 242.49
  4. Step 4: Simplify right side
    364.47x = 132,319.52
  5. Step 5: Solve for x
    x = 132,319.52/364.47
  6. Step 6: Final answer
    x = 363.05

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Why These Related Problems?

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