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Finding the Fourth Proportional to 603.60, 904.86 and 449.70

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Solution

The fourth proportional to 603.60, 904.86 and 449.70 is: 674.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.60 : 904.86 = 449.70 : x
  2. Step 2: Convert to fraction form
    603.60/904.86 = 449.70/x
  3. Step 3: Cross multiply
    603.60x = 904.86 × 449.70
  4. Step 4: Simplify right side
    603.60x = 406,915.54
  5. Step 5: Solve for x
    x = 406,915.54/603.60
  6. Step 6: Final answer
    x = 674.15

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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.