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Finding the Fourth Proportional to 328.66, 490.45 and 292.30

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Solution

The fourth proportional to 328.66, 490.45 and 292.30 is: 436.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.66 : 490.45 = 292.30 : x
  2. Step 2: Convert to fraction form
    328.66/490.45 = 292.30/x
  3. Step 3: Cross multiply
    328.66x = 490.45 × 292.30
  4. Step 4: Simplify right side
    328.66x = 143,358.54
  5. Step 5: Solve for x
    x = 143,358.54/328.66
  6. Step 6: Final answer
    x = 436.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.