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Finding the Fourth Proportional to 654.40, 901.92 and 457.28

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Solution

The fourth proportional to 654.40, 901.92 and 457.28 is: 630.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.40 : 901.92 = 457.28 : x
  2. Step 2: Convert to fraction form
    654.40/901.92 = 457.28/x
  3. Step 3: Cross multiply
    654.40x = 901.92 × 457.28
  4. Step 4: Simplify right side
    654.40x = 412,429.98
  5. Step 5: Solve for x
    x = 412,429.98/654.40
  6. Step 6: Final answer
    x = 630.24

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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.