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Finding the Fourth Proportional to 648.86, 895.49 and 369.16

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Solution

The fourth proportional to 648.86, 895.49 and 369.16 is: 509.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.86 : 895.49 = 369.16 : x
  2. Step 2: Convert to fraction form
    648.86/895.49 = 369.16/x
  3. Step 3: Cross multiply
    648.86x = 895.49 × 369.16
  4. Step 4: Simplify right side
    648.86x = 330,577.77
  5. Step 5: Solve for x
    x = 330,577.77/648.86
  6. Step 6: Final answer
    x = 509.48

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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.