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Finding the Fourth Proportional to 328.99, 454.04 and 204.66

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Solution

The fourth proportional to 328.99, 454.04 and 204.66 is: 282.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.99 : 454.04 = 204.66 : x
  2. Step 2: Convert to fraction form
    328.99/454.04 = 204.66/x
  3. Step 3: Cross multiply
    328.99x = 454.04 × 204.66
  4. Step 4: Simplify right side
    328.99x = 92,923.83
  5. Step 5: Solve for x
    x = 92,923.83/328.99
  6. Step 6: Final answer
    x = 282.45

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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.