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Finding the Fourth Proportional to 598.38, 899.19 and 354.98

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Solution

The fourth proportional to 598.38, 899.19 and 354.98 is: 533.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.38 : 899.19 = 354.98 : x
  2. Step 2: Convert to fraction form
    598.38/899.19 = 354.98/x
  3. Step 3: Cross multiply
    598.38x = 899.19 × 354.98
  4. Step 4: Simplify right side
    598.38x = 319,189.97
  5. Step 5: Solve for x
    x = 319,189.97/598.38
  6. Step 6: Final answer
    x = 533.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.