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Finding the Fourth Proportional to 452.02, 677.49 and 330.70

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Solution

The fourth proportional to 452.02, 677.49 and 330.70 is: 495.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.02 : 677.49 = 330.70 : x
  2. Step 2: Convert to fraction form
    452.02/677.49 = 330.70/x
  3. Step 3: Cross multiply
    452.02x = 677.49 × 330.70
  4. Step 4: Simplify right side
    452.02x = 224,045.94
  5. Step 5: Solve for x
    x = 224,045.94/452.02
  6. Step 6: Final answer
    x = 495.65

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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.