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Finding the Fourth Proportional to 603.41, 902.66 and 500.90

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Solution

The fourth proportional to 603.41, 902.66 and 500.90 is: 749.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.41 : 902.66 = 500.90 : x
  2. Step 2: Convert to fraction form
    603.41/902.66 = 500.90/x
  3. Step 3: Cross multiply
    603.41x = 902.66 × 500.90
  4. Step 4: Simplify right side
    603.41x = 452,135.38
  5. Step 5: Solve for x
    x = 452,135.38/603.41
  6. Step 6: Final answer
    x = 749.31

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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.