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Finding the Fourth Proportional to 452.28, 677.64 and 391.32

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Solution

The fourth proportional to 452.28, 677.64 and 391.32 is: 586.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.28 : 677.64 = 391.32 : x
  2. Step 2: Convert to fraction form
    452.28/677.64 = 391.32/x
  3. Step 3: Cross multiply
    452.28x = 677.64 × 391.32
  4. Step 4: Simplify right side
    452.28x = 265,174.08
  5. Step 5: Solve for x
    x = 265,174.08/452.28
  6. Step 6: Final answer
    x = 586.31

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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.