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Finding the Fourth Proportional to 597.24, 825.26 and 479.05

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Solution

The fourth proportional to 597.24, 825.26 and 479.05 is: 661.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.24 : 825.26 = 479.05 : x
  2. Step 2: Convert to fraction form
    597.24/825.26 = 479.05/x
  3. Step 3: Cross multiply
    597.24x = 825.26 × 479.05
  4. Step 4: Simplify right side
    597.24x = 395,336.34
  5. Step 5: Solve for x
    x = 395,336.34/597.24
  6. Step 6: Final answer
    x = 661.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.