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Finding the Fourth Proportional to 384.32, 530.41 and 237.00

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Solution

The fourth proportional to 384.32, 530.41 and 237.00 is: 327.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.32 : 530.41 = 237.00 : x
  2. Step 2: Convert to fraction form
    384.32/530.41 = 237.00/x
  3. Step 3: Cross multiply
    384.32x = 530.41 × 237.00
  4. Step 4: Simplify right side
    384.32x = 125,705.48
  5. Step 5: Solve for x
    x = 125,705.48/384.32
  6. Step 6: Final answer
    x = 327.09

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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.