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Finding the Fourth Proportional to 384.33, 530.21 and 237.01

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Solution

The fourth proportional to 384.33, 530.21 and 237.01 is: 326.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.33 : 530.21 = 237.01 : x
  2. Step 2: Convert to fraction form
    384.33/530.21 = 237.01/x
  3. Step 3: Cross multiply
    384.33x = 530.21 × 237.01
  4. Step 4: Simplify right side
    384.33x = 125,665.07
  5. Step 5: Solve for x
    x = 125,665.07/384.33
  6. Step 6: Final answer
    x = 326.97

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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.