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Finding the Fourth Proportional to 452, 677.76 and 289.28

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Solution

The fourth proportional to 452, 677.76 and 289.28 is: 433.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    452 : 677.76 = 289.28 : x
  2. Step 2: Convert to fraction form
    452/677.76 = 289.28/x
  3. Step 3: Cross multiply
    452x = 677.76 × 289.28
  4. Step 4: Simplify right side
    452x = 196,062.41
  5. Step 5: Solve for x
    x = 196,062.41/452
  6. Step 6: Final answer
    x = 433.77

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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.