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Finding the Fourth Proportional to 557.44, 768.65 and 459.02

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Solution

The fourth proportional to 557.44, 768.65 and 459.02 is: 632.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.44 : 768.65 = 459.02 : x
  2. Step 2: Convert to fraction form
    557.44/768.65 = 459.02/x
  3. Step 3: Cross multiply
    557.44x = 768.65 × 459.02
  4. Step 4: Simplify right side
    557.44x = 352,825.35
  5. Step 5: Solve for x
    x = 352,825.35/557.44
  6. Step 6: Final answer
    x = 632.94

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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.