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Finding the Fourth Proportional to 598.17, 825.56 and 336.19

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Solution

The fourth proportional to 598.17, 825.56 and 336.19 is: 463.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.17 : 825.56 = 336.19 : x
  2. Step 2: Convert to fraction form
    598.17/825.56 = 336.19/x
  3. Step 3: Cross multiply
    598.17x = 825.56 × 336.19
  4. Step 4: Simplify right side
    598.17x = 277,541.27
  5. Step 5: Solve for x
    x = 277,541.27/598.17
  6. Step 6: Final answer
    x = 463.98

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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.