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Finding the Fourth Proportional to 598.16, 896.42 and 309.80

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Solution

The fourth proportional to 598.16, 896.42 and 309.80 is: 464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.16 : 896.42 = 309.80 : x
  2. Step 2: Convert to fraction form
    598.16/896.42 = 309.80/x
  3. Step 3: Cross multiply
    598.16x = 896.42 × 309.80
  4. Step 4: Simplify right side
    598.16x = 277,710.92
  5. Step 5: Solve for x
    x = 277,710.92/598.16
  6. Step 6: Final answer
    x = 464.28

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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.