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Finding the Fourth Proportional to 318.74, 440.24 and 264.20

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Solution

The fourth proportional to 318.74, 440.24 and 264.20 is: 364.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.74 : 440.24 = 264.20 : x
  2. Step 2: Convert to fraction form
    318.74/440.24 = 264.20/x
  3. Step 3: Cross multiply
    318.74x = 440.24 × 264.20
  4. Step 4: Simplify right side
    318.74x = 116,307.89
  5. Step 5: Solve for x
    x = 116,307.89/318.74
  6. Step 6: Final answer
    x = 364.90

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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.