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Finding the Fourth Proportional to 598.55, 825.49 and 595.49

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Solution

The fourth proportional to 598.55, 825.49 and 595.49 is: 821.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.55 : 825.49 = 595.49 : x
  2. Step 2: Convert to fraction form
    598.55/825.49 = 595.49/x
  3. Step 3: Cross multiply
    598.55x = 825.49 × 595.49
  4. Step 4: Simplify right side
    598.55x = 491,567.66
  5. Step 5: Solve for x
    x = 491,567.66/598.55
  6. Step 6: Final answer
    x = 821.27

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