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Finding the Fourth Proportional to 598.22, 825.12 and 440.90

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Solution

The fourth proportional to 598.22, 825.12 and 440.90 is: 608.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.22 : 825.12 = 440.90 : x
  2. Step 2: Convert to fraction form
    598.22/825.12 = 440.90/x
  3. Step 3: Cross multiply
    598.22x = 825.12 × 440.90
  4. Step 4: Simplify right side
    598.22x = 363,795.41
  5. Step 5: Solve for x
    x = 363,795.41/598.22
  6. Step 6: Final answer
    x = 608.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.