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Finding the Fourth Proportional to 598.48, 825.65 and 402.05

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Solution

The fourth proportional to 598.48, 825.65 and 402.05 is: 554.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.48 : 825.65 = 402.05 : x
  2. Step 2: Convert to fraction form
    598.48/825.65 = 402.05/x
  3. Step 3: Cross multiply
    598.48x = 825.65 × 402.05
  4. Step 4: Simplify right side
    598.48x = 331,952.58
  5. Step 5: Solve for x
    x = 331,952.58/598.48
  6. Step 6: Final answer
    x = 554.66

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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.