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Finding the Fourth Proportional to 384.13, 530.09 and 218.32

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Solution

The fourth proportional to 384.13, 530.09 and 218.32 is: 301.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.13 : 530.09 = 218.32 : x
  2. Step 2: Convert to fraction form
    384.13/530.09 = 218.32/x
  3. Step 3: Cross multiply
    384.13x = 530.09 × 218.32
  4. Step 4: Simplify right side
    384.13x = 115,728.16
  5. Step 5: Solve for x
    x = 115,728.16/384.13
  6. Step 6: Final answer
    x = 301.27

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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.