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Finding the Fourth Proportional to 603.10, 904.34 and 294.49

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Solution

The fourth proportional to 603.10, 904.34 and 294.49 is: 441.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.10 : 904.34 = 294.49 : x
  2. Step 2: Convert to fraction form
    603.10/904.34 = 294.49/x
  3. Step 3: Cross multiply
    603.10x = 904.34 × 294.49
  4. Step 4: Simplify right side
    603.10x = 266,317.56
  5. Step 5: Solve for x
    x = 266,317.56/603.10
  6. Step 6: Final answer
    x = 441.58

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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.