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Finding the Fourth Proportional to 364.17, 502.98 and 329.19

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Solution

The fourth proportional to 364.17, 502.98 and 329.19 is: 454.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.17 : 502.98 = 329.19 : x
  2. Step 2: Convert to fraction form
    364.17/502.98 = 329.19/x
  3. Step 3: Cross multiply
    364.17x = 502.98 × 329.19
  4. Step 4: Simplify right side
    364.17x = 165,575.99
  5. Step 5: Solve for x
    x = 165,575.99/364.17
  6. Step 6: Final answer
    x = 454.67

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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.