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Finding the Fourth Proportional to 387.51, 581.52 and 214.30

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Solution

The fourth proportional to 387.51, 581.52 and 214.30 is: 321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.51 : 581.52 = 214.30 : x
  2. Step 2: Convert to fraction form
    387.51/581.52 = 214.30/x
  3. Step 3: Cross multiply
    387.51x = 581.52 × 214.30
  4. Step 4: Simplify right side
    387.51x = 124,618.66
  5. Step 5: Solve for x
    x = 124,618.66/387.51
  6. Step 6: Final answer
    x = 321.59

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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.