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Finding the Fourth Proportional to 598.10, 897.13 and 273.02

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Solution

The fourth proportional to 598.10, 897.13 and 273.02 is: 409.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.10 : 897.13 = 273.02 : x
  2. Step 2: Convert to fraction form
    598.10/897.13 = 273.02/x
  3. Step 3: Cross multiply
    598.10x = 897.13 × 273.02
  4. Step 4: Simplify right side
    598.10x = 244,934.43
  5. Step 5: Solve for x
    x = 244,934.43/598.10
  6. Step 6: Final answer
    x = 409.52

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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.