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Finding the Fourth Proportional to 484.64, 669.08 and 319.13

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Solution

The fourth proportional to 484.64, 669.08 and 319.13 is: 440.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.64 : 669.08 = 319.13 : x
  2. Step 2: Convert to fraction form
    484.64/669.08 = 319.13/x
  3. Step 3: Cross multiply
    484.64x = 669.08 × 319.13
  4. Step 4: Simplify right side
    484.64x = 213,520.95
  5. Step 5: Solve for x
    x = 213,520.95/484.64
  6. Step 6: Final answer
    x = 440.58

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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.