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Finding the Fourth Proportional to 598.12, 825.66 and 349.34

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Solution

The fourth proportional to 598.12, 825.66 and 349.34 is: 482.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.12 : 825.66 = 349.34 : x
  2. Step 2: Convert to fraction form
    598.12/825.66 = 349.34/x
  3. Step 3: Cross multiply
    598.12x = 825.66 × 349.34
  4. Step 4: Simplify right side
    598.12x = 288,436.06
  5. Step 5: Solve for x
    x = 288,436.06/598.12
  6. Step 6: Final answer
    x = 482.24

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1.5x scale

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.