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Finding the Fourth Proportional to 384.31, 530.37 and 218.53

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Solution

The fourth proportional to 384.31, 530.37 and 218.53 is: 301.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.31 : 530.37 = 218.53 : x
  2. Step 2: Convert to fraction form
    384.31/530.37 = 218.53/x
  3. Step 3: Cross multiply
    384.31x = 530.37 × 218.53
  4. Step 4: Simplify right side
    384.31x = 115,903.90
  5. Step 5: Solve for x
    x = 115,903.90/384.31
  6. Step 6: Final answer
    x = 301.59

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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.