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Finding the Fourth Proportional to 555.24, 832.54 and 212.84

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Solution

The fourth proportional to 555.24, 832.54 and 212.84 is: 319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.24 : 832.54 = 212.84 : x
  2. Step 2: Convert to fraction form
    555.24/832.54 = 212.84/x
  3. Step 3: Cross multiply
    555.24x = 832.54 × 212.84
  4. Step 4: Simplify right side
    555.24x = 177,197.81
  5. Step 5: Solve for x
    x = 177,197.81/555.24
  6. Step 6: Final answer
    x = 319.14

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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.