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Finding the Fourth Proportional to 556.14, 832.66 and 280.88

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Solution

The fourth proportional to 556.14, 832.66 and 280.88 is: 420.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.14 : 832.66 = 280.88 : x
  2. Step 2: Convert to fraction form
    556.14/832.66 = 280.88/x
  3. Step 3: Cross multiply
    556.14x = 832.66 × 280.88
  4. Step 4: Simplify right side
    556.14x = 233,877.54
  5. Step 5: Solve for x
    x = 233,877.54/556.14
  6. Step 6: Final answer
    x = 420.54

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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.