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Finding the Fourth Proportional to 598.34, 825.01 and 415.98

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Solution

The fourth proportional to 598.34, 825.01 and 415.98 is: 573.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.34 : 825.01 = 415.98 : x
  2. Step 2: Convert to fraction form
    598.34/825.01 = 415.98/x
  3. Step 3: Cross multiply
    598.34x = 825.01 × 415.98
  4. Step 4: Simplify right side
    598.34x = 343,186.62
  5. Step 5: Solve for x
    x = 343,186.62/598.34
  6. Step 6: Final answer
    x = 573.56

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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.