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Finding the Fourth Proportional to 364.49, 545.36 and 202.29

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Solution

The fourth proportional to 364.49, 545.36 and 202.29 is: 302.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.49 : 545.36 = 202.29 : x
  2. Step 2: Convert to fraction form
    364.49/545.36 = 202.29/x
  3. Step 3: Cross multiply
    364.49x = 545.36 × 202.29
  4. Step 4: Simplify right side
    364.49x = 110,320.87
  5. Step 5: Solve for x
    x = 110,320.87/364.49
  6. Step 6: Final answer
    x = 302.67

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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.