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Finding the Fourth Proportional to 598.89, 895.96 and 475.88

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Solution

The fourth proportional to 598.89, 895.96 and 475.88 is: 711.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.89 : 895.96 = 475.88 : x
  2. Step 2: Convert to fraction form
    598.89/895.96 = 475.88/x
  3. Step 3: Cross multiply
    598.89x = 895.96 × 475.88
  4. Step 4: Simplify right side
    598.89x = 426,365.56
  5. Step 5: Solve for x
    x = 426,365.56/598.89
  6. Step 6: Final answer
    x = 711.92

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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.