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Finding the Fourth Proportional to 384.54, 530.56 and 218.74

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Solution

The fourth proportional to 384.54, 530.56 and 218.74 is: 301.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.54 : 530.56 = 218.74 : x
  2. Step 2: Convert to fraction form
    384.54/530.56 = 218.74/x
  3. Step 3: Cross multiply
    384.54x = 530.56 × 218.74
  4. Step 4: Simplify right side
    384.54x = 116,054.69
  5. Step 5: Solve for x
    x = 116,054.69/384.54
  6. Step 6: Final answer
    x = 301.80

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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.