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Finding the Fourth Proportional to 603.75, 904.01 and 343.37

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Solution

The fourth proportional to 603.75, 904.01 and 343.37 is: 514.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.75 : 904.01 = 343.37 : x
  2. Step 2: Convert to fraction form
    603.75/904.01 = 343.37/x
  3. Step 3: Cross multiply
    603.75x = 904.01 × 343.37
  4. Step 4: Simplify right side
    603.75x = 310,403.68
  5. Step 5: Solve for x
    x = 310,403.68/603.75
  6. Step 6: Final answer
    x = 514.13

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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.