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Finding the Fourth Proportional to 598.38, 825.55 and 362.26

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Solution

The fourth proportional to 598.38, 825.55 and 362.26 is: 499.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.38 : 825.55 = 362.26 : x
  2. Step 2: Convert to fraction form
    598.38/825.55 = 362.26/x
  3. Step 3: Cross multiply
    598.38x = 825.55 × 362.26
  4. Step 4: Simplify right side
    598.38x = 299,063.74
  5. Step 5: Solve for x
    x = 299,063.74/598.38
  6. Step 6: Final answer
    x = 499.79

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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.