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Finding the Fourth Proportional to 648.88, 895.42 and 369.07

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Solution

The fourth proportional to 648.88, 895.42 and 369.07 is: 509.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.88 : 895.42 = 369.07 : x
  2. Step 2: Convert to fraction form
    648.88/895.42 = 369.07/x
  3. Step 3: Cross multiply
    648.88x = 895.42 × 369.07
  4. Step 4: Simplify right side
    648.88x = 330,474.24
  5. Step 5: Solve for x
    x = 330,474.24/648.88
  6. Step 6: Final answer
    x = 509.30

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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.