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Finding the Fourth Proportional to 598.24, 897.36 and 517.28

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Solution

The fourth proportional to 598.24, 897.36 and 517.28 is: 775.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.24 : 897.36 = 517.28 : x
  2. Step 2: Convert to fraction form
    598.24/897.36 = 517.28/x
  3. Step 3: Cross multiply
    598.24x = 897.36 × 517.28
  4. Step 4: Simplify right side
    598.24x = 464,186.38
  5. Step 5: Solve for x
    x = 464,186.38/598.24
  6. Step 6: Final answer
    x = 775.92

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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.