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Finding the Fourth Proportional to 319.64, 479.59 and 229.06

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Solution

The fourth proportional to 319.64, 479.59 and 229.06 is: 343.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.64 : 479.59 = 229.06 : x
  2. Step 2: Convert to fraction form
    319.64/479.59 = 229.06/x
  3. Step 3: Cross multiply
    319.64x = 479.59 × 229.06
  4. Step 4: Simplify right side
    319.64x = 109,853.11
  5. Step 5: Solve for x
    x = 109,853.11/319.64
  6. Step 6: Final answer
    x = 343.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.