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Finding the Fourth Proportional to 904.34, 1,355.40 and 441.74

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Solution

The fourth proportional to 904.34, 1,355.40 and 441.74 is: 662.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.34 : 1,355.40 = 441.74 : x
  2. Step 2: Convert to fraction form
    904.34/1,355.40 = 441.74/x
  3. Step 3: Cross multiply
    904.34x = 1,355.40 × 441.74
  4. Step 4: Simplify right side
    904.34x = 598,734.40
  5. Step 5: Solve for x
    x = 598,734.40/904.34
  6. Step 6: Final answer
    x = 662.07

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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.