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Finding the Fourth Proportional to 557.16, 768.60 and 459.69

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Solution

The fourth proportional to 557.16, 768.60 and 459.69 is: 634.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.16 : 768.60 = 459.69 : x
  2. Step 2: Convert to fraction form
    557.16/768.60 = 459.69/x
  3. Step 3: Cross multiply
    557.16x = 768.60 × 459.69
  4. Step 4: Simplify right side
    557.16x = 353,317.73
  5. Step 5: Solve for x
    x = 353,317.73/557.16
  6. Step 6: Final answer
    x = 634.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.