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Finding the Fourth Proportional to 654.57, 902.21 and 457.74

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Solution

The fourth proportional to 654.57, 902.21 and 457.74 is: 630.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.57 : 902.21 = 457.74 : x
  2. Step 2: Convert to fraction form
    654.57/902.21 = 457.74/x
  3. Step 3: Cross multiply
    654.57x = 902.21 × 457.74
  4. Step 4: Simplify right side
    654.57x = 412,975.32
  5. Step 5: Solve for x
    x = 412,975.32/654.57
  6. Step 6: Final answer
    x = 630.91

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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.