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Finding the Fourth Proportional to 384.27, 530.29 and 218.47

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Solution

The fourth proportional to 384.27, 530.29 and 218.47 is: 301.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.27 : 530.29 = 218.47 : x
  2. Step 2: Convert to fraction form
    384.27/530.29 = 218.47/x
  3. Step 3: Cross multiply
    384.27x = 530.29 × 218.47
  4. Step 4: Simplify right side
    384.27x = 115,852.46
  5. Step 5: Solve for x
    x = 115,852.46/384.27
  6. Step 6: Final answer
    x = 301.49

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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.