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Finding the Fourth Proportional to 904.46, 1,355.73 and 447.50

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Solution

The fourth proportional to 904.46, 1,355.73 and 447.50 is: 670.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.46 : 1,355.73 = 447.50 : x
  2. Step 2: Convert to fraction form
    904.46/1,355.73 = 447.50/x
  3. Step 3: Cross multiply
    904.46x = 1,355.73 × 447.50
  4. Step 4: Simplify right side
    904.46x = 606,689.18
  5. Step 5: Solve for x
    x = 606,689.18/904.46
  6. Step 6: Final answer
    x = 670.78

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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.