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Finding the Fourth Proportional to 384.11, 530.09 and 218.34

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Solution

The fourth proportional to 384.11, 530.09 and 218.34 is: 301.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.11 : 530.09 = 218.34 : x
  2. Step 2: Convert to fraction form
    384.11/530.09 = 218.34/x
  3. Step 3: Cross multiply
    384.11x = 530.09 × 218.34
  4. Step 4: Simplify right side
    384.11x = 115,739.58
  5. Step 5: Solve for x
    x = 115,739.58/384.11
  6. Step 6: Final answer
    x = 301.32

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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.