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Finding the Fourth Proportional to 648.98, 895.61 and 369.28

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Solution

The fourth proportional to 648.98, 895.61 and 369.28 is: 509.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.98 : 895.61 = 369.28 : x
  2. Step 2: Convert to fraction form
    648.98/895.61 = 369.28/x
  3. Step 3: Cross multiply
    648.98x = 895.61 × 369.28
  4. Step 4: Simplify right side
    648.98x = 330,732.90
  5. Step 5: Solve for x
    x = 330,732.90/648.98
  6. Step 6: Final answer
    x = 509.62

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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.