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Finding the Fourth Proportional to 384.20, 530.01 and 236.74

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Solution

The fourth proportional to 384.20, 530.01 and 236.74 is: 326.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.20 : 530.01 = 236.74 : x
  2. Step 2: Convert to fraction form
    384.20/530.01 = 236.74/x
  3. Step 3: Cross multiply
    384.20x = 530.01 × 236.74
  4. Step 4: Simplify right side
    384.20x = 125,474.57
  5. Step 5: Solve for x
    x = 125,474.57/384.20
  6. Step 6: Final answer
    x = 326.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.