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Finding the Fourth Proportional to 603.59, 904.24 and 506.73

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Solution

The fourth proportional to 603.59, 904.24 and 506.73 is: 759.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.59 : 904.24 = 506.73 : x
  2. Step 2: Convert to fraction form
    603.59/904.24 = 506.73/x
  3. Step 3: Cross multiply
    603.59x = 904.24 × 506.73
  4. Step 4: Simplify right side
    603.59x = 458,203.00
  5. Step 5: Solve for x
    x = 458,203.00/603.59
  6. Step 6: Final answer
    x = 759.13

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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.