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Finding the Fourth Proportional to 603.54, 906.12 and 459.36

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Solution

The fourth proportional to 603.54, 906.12 and 459.36 is: 689.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.54 : 906.12 = 459.36 : x
  2. Step 2: Convert to fraction form
    603.54/906.12 = 459.36/x
  3. Step 3: Cross multiply
    603.54x = 906.12 × 459.36
  4. Step 4: Simplify right side
    603.54x = 416,235.28
  5. Step 5: Solve for x
    x = 416,235.28/603.54
  6. Step 6: Final answer
    x = 689.66

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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.