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Finding the Fourth Proportional to 598.46, 825.86 and 346.41

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Solution

The fourth proportional to 598.46, 825.86 and 346.41 is: 478.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.46 : 825.86 = 346.41 : x
  2. Step 2: Convert to fraction form
    598.46/825.86 = 346.41/x
  3. Step 3: Cross multiply
    598.46x = 825.86 × 346.41
  4. Step 4: Simplify right side
    598.46x = 286,087.03
  5. Step 5: Solve for x
    x = 286,087.03/598.46
  6. Step 6: Final answer
    x = 478.04

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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.