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Finding the Fourth Proportional to 557.40, 768.62 and 360.56

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Solution

The fourth proportional to 557.40, 768.62 and 360.56 is: 497.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.40 : 768.62 = 360.56 : x
  2. Step 2: Convert to fraction form
    557.40/768.62 = 360.56/x
  3. Step 3: Cross multiply
    557.40x = 768.62 × 360.56
  4. Step 4: Simplify right side
    557.40x = 277,133.63
  5. Step 5: Solve for x
    x = 277,133.63/557.40
  6. Step 6: Final answer
    x = 497.19

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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.