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Finding the Fourth Proportional to 598.25, 825.63 and 365.42

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Solution

The fourth proportional to 598.25, 825.63 and 365.42 is: 504.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.25 : 825.63 = 365.42 : x
  2. Step 2: Convert to fraction form
    598.25/825.63 = 365.42/x
  3. Step 3: Cross multiply
    598.25x = 825.63 × 365.42
  4. Step 4: Simplify right side
    598.25x = 301,701.71
  5. Step 5: Solve for x
    x = 301,701.71/598.25
  6. Step 6: Final answer
    x = 504.31

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Similar ratio
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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.