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Finding the Fourth Proportional to 722.55, 997.67 and 473.78

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Solution

The fourth proportional to 722.55, 997.67 and 473.78 is: 654.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.55 : 997.67 = 473.78 : x
  2. Step 2: Convert to fraction form
    722.55/997.67 = 473.78/x
  3. Step 3: Cross multiply
    722.55x = 997.67 × 473.78
  4. Step 4: Simplify right side
    722.55x = 472,668.74
  5. Step 5: Solve for x
    x = 472,668.74/722.55
  6. Step 6: Final answer
    x = 654.17

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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.