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Finding the Fourth Proportional to 557.04, 768.78 and 463.62

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Solution

The fourth proportional to 557.04, 768.78 and 463.62 is: 639.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.04 : 768.78 = 463.62 : x
  2. Step 2: Convert to fraction form
    557.04/768.78 = 463.62/x
  3. Step 3: Cross multiply
    557.04x = 768.78 × 463.62
  4. Step 4: Simplify right side
    557.04x = 356,421.78
  5. Step 5: Solve for x
    x = 356,421.78/557.04
  6. Step 6: Final answer
    x = 639.85

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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.