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Finding the Fourth Proportional to 648.70, 895.08 and 386.80

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Solution

The fourth proportional to 648.70, 895.08 and 386.80 is: 533.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.70 : 895.08 = 386.80 : x
  2. Step 2: Convert to fraction form
    648.70/895.08 = 386.80/x
  3. Step 3: Cross multiply
    648.70x = 895.08 × 386.80
  4. Step 4: Simplify right side
    648.70x = 346,216.94
  5. Step 5: Solve for x
    x = 346,216.94/648.70
  6. Step 6: Final answer
    x = 533.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.