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Finding the Fourth Proportional to 603.89, 906.14 and 457.59

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Solution

The fourth proportional to 603.89, 906.14 and 457.59 is: 686.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.89 : 906.14 = 457.59 : x
  2. Step 2: Convert to fraction form
    603.89/906.14 = 457.59/x
  3. Step 3: Cross multiply
    603.89x = 906.14 × 457.59
  4. Step 4: Simplify right side
    603.89x = 414,641.75
  5. Step 5: Solve for x
    x = 414,641.75/603.89
  6. Step 6: Final answer
    x = 686.62

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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.