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Finding the Fourth Proportional to 384.75, 530.97 and 229.59

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Solution

The fourth proportional to 384.75, 530.97 and 229.59 is: 316.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.75 : 530.97 = 229.59 : x
  2. Step 2: Convert to fraction form
    384.75/530.97 = 229.59/x
  3. Step 3: Cross multiply
    384.75x = 530.97 × 229.59
  4. Step 4: Simplify right side
    384.75x = 121,905.40
  5. Step 5: Solve for x
    x = 121,905.40/384.75
  6. Step 6: Final answer
    x = 316.84

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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.