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Finding the Fourth Proportional to 319.32, 440.32 and 224.89

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Solution

The fourth proportional to 319.32, 440.32 and 224.89 is: 310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.32 : 440.32 = 224.89 : x
  2. Step 2: Convert to fraction form
    319.32/440.32 = 224.89/x
  3. Step 3: Cross multiply
    319.32x = 440.32 × 224.89
  4. Step 4: Simplify right side
    319.32x = 99,023.89
  5. Step 5: Solve for x
    x = 99,023.89/319.32
  6. Step 6: Final answer
    x = 310.11

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1.5x scale

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.