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Finding the Fourth Proportional to 476.89, 713.44 and 424.93

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Solution

The fourth proportional to 476.89, 713.44 and 424.93 is: 635.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.89 : 713.44 = 424.93 : x
  2. Step 2: Convert to fraction form
    476.89/713.44 = 424.93/x
  3. Step 3: Cross multiply
    476.89x = 713.44 × 424.93
  4. Step 4: Simplify right side
    476.89x = 303,162.06
  5. Step 5: Solve for x
    x = 303,162.06/476.89
  6. Step 6: Final answer
    x = 635.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.