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Finding the Fourth Proportional to 598.01, 897.11 and 187.13

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Solution

The fourth proportional to 598.01, 897.11 and 187.13 is: 280.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.01 : 897.11 = 187.13 : x
  2. Step 2: Convert to fraction form
    598.01/897.11 = 187.13/x
  3. Step 3: Cross multiply
    598.01x = 897.11 × 187.13
  4. Step 4: Simplify right side
    598.01x = 167,870.77
  5. Step 5: Solve for x
    x = 167,870.77/598.01
  6. Step 6: Final answer
    x = 280.72

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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.