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Finding the Fourth Proportional to 328.92, 452.51 and 305.87

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Solution

The fourth proportional to 328.92, 452.51 and 305.87 is: 420.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.92 : 452.51 = 305.87 : x
  2. Step 2: Convert to fraction form
    328.92/452.51 = 305.87/x
  3. Step 3: Cross multiply
    328.92x = 452.51 × 305.87
  4. Step 4: Simplify right side
    328.92x = 138,406.59
  5. Step 5: Solve for x
    x = 138,406.59/328.92
  6. Step 6: Final answer
    x = 420.80

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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.