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Finding the Fourth Proportional to 384.36, 575.82 and 213

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Solution

The fourth proportional to 384.36, 575.82 and 213 is: 319.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.36 : 575.82 = 213 : x
  2. Step 2: Convert to fraction form
    384.36/575.82 = 213/x
  3. Step 3: Cross multiply
    384.36x = 575.82 × 213
  4. Step 4: Simplify right side
    384.36x = 122,649.66
  5. Step 5: Solve for x
    x = 122,649.66/384.36
  6. Step 6: Final answer
    x = 319.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.