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Finding the Fourth Proportional to 384.34, 530.36 and 218.57

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Solution

The fourth proportional to 384.34, 530.36 and 218.57 is: 301.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.34 : 530.36 = 218.57 : x
  2. Step 2: Convert to fraction form
    384.34/530.36 = 218.57/x
  3. Step 3: Cross multiply
    384.34x = 530.36 × 218.57
  4. Step 4: Simplify right side
    384.34x = 115,920.79
  5. Step 5: Solve for x
    x = 115,920.79/384.34
  6. Step 6: Final answer
    x = 301.61

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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.