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Finding the Fourth Proportional to 469.86, 648.08 and 359.14

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Solution

The fourth proportional to 469.86, 648.08 and 359.14 is: 495.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.86 : 648.08 = 359.14 : x
  2. Step 2: Convert to fraction form
    469.86/648.08 = 359.14/x
  3. Step 3: Cross multiply
    469.86x = 648.08 × 359.14
  4. Step 4: Simplify right side
    469.86x = 232,751.45
  5. Step 5: Solve for x
    x = 232,751.45/469.86
  6. Step 6: Final answer
    x = 495.36

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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.