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Finding the Fourth Proportional to 648.74, 895.22 and 386.76

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Solution

The fourth proportional to 648.74, 895.22 and 386.76 is: 533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.74 : 895.22 = 386.76 : x
  2. Step 2: Convert to fraction form
    648.74/895.22 = 386.76/x
  3. Step 3: Cross multiply
    648.74x = 895.22 × 386.76
  4. Step 4: Simplify right side
    648.74x = 346,235.29
  5. Step 5: Solve for x
    x = 346,235.29/648.74
  6. Step 6: Final answer
    x = 533.70

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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.