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Finding the Fourth Proportional to 654.92, 903.80 and 406.12

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Solution

The fourth proportional to 654.92, 903.80 and 406.12 is: 560.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.92 : 903.80 = 406.12 : x
  2. Step 2: Convert to fraction form
    654.92/903.80 = 406.12/x
  3. Step 3: Cross multiply
    654.92x = 903.80 × 406.12
  4. Step 4: Simplify right side
    654.92x = 367,050.01
  5. Step 5: Solve for x
    x = 367,050.01/654.92
  6. Step 6: Final answer
    x = 560.45

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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.