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Finding the Fourth Proportional to 648.64, 895.26 and 386.80

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Solution

The fourth proportional to 648.64, 895.26 and 386.80 is: 533.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.64 : 895.26 = 386.80 : x
  2. Step 2: Convert to fraction form
    648.64/895.26 = 386.80/x
  3. Step 3: Cross multiply
    648.64x = 895.26 × 386.80
  4. Step 4: Simplify right side
    648.64x = 346,286.57
  5. Step 5: Solve for x
    x = 346,286.57/648.64
  6. Step 6: Final answer
    x = 533.87

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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.