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Finding the Fourth Proportional to 598.08, 825.36 and 336.16

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Solution

The fourth proportional to 598.08, 825.36 and 336.16 is: 463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.08 : 825.36 = 336.16 : x
  2. Step 2: Convert to fraction form
    598.08/825.36 = 336.16/x
  3. Step 3: Cross multiply
    598.08x = 825.36 × 336.16
  4. Step 4: Simplify right side
    598.08x = 277,453.02
  5. Step 5: Solve for x
    x = 277,453.02/598.08
  6. Step 6: Final answer
    x = 463.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.