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Finding the Fourth Proportional to 557.14, 768.72 and 360.63

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Solution

The fourth proportional to 557.14, 768.72 and 360.63 is: 497.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.14 : 768.72 = 360.63 : x
  2. Step 2: Convert to fraction form
    557.14/768.72 = 360.63/x
  3. Step 3: Cross multiply
    557.14x = 768.72 × 360.63
  4. Step 4: Simplify right side
    557.14x = 277,223.49
  5. Step 5: Solve for x
    x = 277,223.49/557.14
  6. Step 6: Final answer
    x = 497.58

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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.