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Finding the Fourth Proportional to 384.47, 530.59 and 218.71

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Solution

The fourth proportional to 384.47, 530.59 and 218.71 is: 301.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.47 : 530.59 = 218.71 : x
  2. Step 2: Convert to fraction form
    384.47/530.59 = 218.71/x
  3. Step 3: Cross multiply
    384.47x = 530.59 × 218.71
  4. Step 4: Simplify right side
    384.47x = 116,043.47
  5. Step 5: Solve for x
    x = 116,043.47/384.47
  6. Step 6: Final answer
    x = 301.83

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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.