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Finding the Fourth Proportional to 598.16, 896.16 and 309.26

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Solution

The fourth proportional to 598.16, 896.16 and 309.26 is: 463.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.16 : 896.16 = 309.26 : x
  2. Step 2: Convert to fraction form
    598.16/896.16 = 309.26/x
  3. Step 3: Cross multiply
    598.16x = 896.16 × 309.26
  4. Step 4: Simplify right side
    598.16x = 277,146.44
  5. Step 5: Solve for x
    x = 277,146.44/598.16
  6. Step 6: Final answer
    x = 463.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.