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Finding the Fourth Proportional to 598.41, 825.82 and 362.40

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Solution

The fourth proportional to 598.41, 825.82 and 362.40 is: 500.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.41 : 825.82 = 362.40 : x
  2. Step 2: Convert to fraction form
    598.41/825.82 = 362.40/x
  3. Step 3: Cross multiply
    598.41x = 825.82 × 362.40
  4. Step 4: Simplify right side
    598.41x = 299,271.23
  5. Step 5: Solve for x
    x = 299,271.23/598.41
  6. Step 6: Final answer
    x = 500.11

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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.