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Finding the Fourth Proportional to 384.30, 530.19 and 236.85

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Solution

The fourth proportional to 384.30, 530.19 and 236.85 is: 326.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.30 : 530.19 = 236.85 : x
  2. Step 2: Convert to fraction form
    384.30/530.19 = 236.85/x
  3. Step 3: Cross multiply
    384.30x = 530.19 × 236.85
  4. Step 4: Simplify right side
    384.30x = 125,575.50
  5. Step 5: Solve for x
    x = 125,575.50/384.30
  6. Step 6: Final answer
    x = 326.76

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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.