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Finding the Fourth Proportional to 557.33, 768.79 and 336.14

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Solution

The fourth proportional to 557.33, 768.79 and 336.14 is: 463.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.33 : 768.79 = 336.14 : x
  2. Step 2: Convert to fraction form
    557.33/768.79 = 336.14/x
  3. Step 3: Cross multiply
    557.33x = 768.79 × 336.14
  4. Step 4: Simplify right side
    557.33x = 258,421.07
  5. Step 5: Solve for x
    x = 258,421.07/557.33
  6. Step 6: Final answer
    x = 463.68

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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.