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Finding the Fourth Proportional to 603.20, 904.44 and 294.80

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Solution

The fourth proportional to 603.20, 904.44 and 294.80 is: 442.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.20 : 904.44 = 294.80 : x
  2. Step 2: Convert to fraction form
    603.20/904.44 = 294.80/x
  3. Step 3: Cross multiply
    603.20x = 904.44 × 294.80
  4. Step 4: Simplify right side
    603.20x = 266,628.91
  5. Step 5: Solve for x
    x = 266,628.91/603.20
  6. Step 6: Final answer
    x = 442.02

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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.