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Finding the Fourth Proportional to 598.02, 825.30 and 336.10

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Solution

The fourth proportional to 598.02, 825.30 and 336.10 is: 463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.02 : 825.30 = 336.10 : x
  2. Step 2: Convert to fraction form
    598.02/825.30 = 336.10/x
  3. Step 3: Cross multiply
    598.02x = 825.30 × 336.10
  4. Step 4: Simplify right side
    598.02x = 277,383.33
  5. Step 5: Solve for x
    x = 277,383.33/598.02
  6. Step 6: Final answer
    x = 463.84

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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.