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Finding the Fourth Proportional to 476.93, 657.24 and 464.78

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Solution

The fourth proportional to 476.93, 657.24 and 464.78 is: 640.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.93 : 657.24 = 464.78 : x
  2. Step 2: Convert to fraction form
    476.93/657.24 = 464.78/x
  3. Step 3: Cross multiply
    476.93x = 657.24 × 464.78
  4. Step 4: Simplify right side
    476.93x = 305,472.01
  5. Step 5: Solve for x
    x = 305,472.01/476.93
  6. Step 6: Final answer
    x = 640.50

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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.