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Finding the Fourth Proportional to 555, 832.54 and 213

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Solution

The fourth proportional to 555, 832.54 and 213 is: 319.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    555 : 832.54 = 213 : x
  2. Step 2: Convert to fraction form
    555/832.54 = 213/x
  3. Step 3: Cross multiply
    555x = 832.54 × 213
  4. Step 4: Simplify right side
    555x = 177,331.02
  5. Step 5: Solve for x
    x = 177,331.02/555
  6. Step 6: Final answer
    x = 319.52

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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.