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Finding the Fourth Proportional to 384.76, 530.82 and 229.52

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Solution

The fourth proportional to 384.76, 530.82 and 229.52 is: 316.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.76 : 530.82 = 229.52 : x
  2. Step 2: Convert to fraction form
    384.76/530.82 = 229.52/x
  3. Step 3: Cross multiply
    384.76x = 530.82 × 229.52
  4. Step 4: Simplify right side
    384.76x = 121,833.81
  5. Step 5: Solve for x
    x = 121,833.81/384.76
  6. Step 6: Final answer
    x = 316.65

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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.