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Finding the Fourth Proportional to 557.42, 768.66 and 479

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Solution

The fourth proportional to 557.42, 768.66 and 479 is: 660.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.42 : 768.66 = 479 : x
  2. Step 2: Convert to fraction form
    557.42/768.66 = 479/x
  3. Step 3: Cross multiply
    557.42x = 768.66 × 479
  4. Step 4: Simplify right side
    557.42x = 368,188.14
  5. Step 5: Solve for x
    x = 368,188.14/557.42
  6. Step 6: Final answer
    x = 660.52

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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.