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Finding the Fourth Proportional to 384.55, 530.65 and 218.80

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Solution

The fourth proportional to 384.55, 530.65 and 218.80 is: 301.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.55 : 530.65 = 218.80 : x
  2. Step 2: Convert to fraction form
    384.55/530.65 = 218.80/x
  3. Step 3: Cross multiply
    384.55x = 530.65 × 218.80
  4. Step 4: Simplify right side
    384.55x = 116,107.16
  5. Step 5: Solve for x
    x = 116,107.16/384.55
  6. Step 6: Final answer
    x = 301.93

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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.