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Finding the Fourth Proportional to 597.76, 825.03 and 335.86

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Solution

The fourth proportional to 597.76, 825.03 and 335.86 is: 463.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.76 : 825.03 = 335.86 : x
  2. Step 2: Convert to fraction form
    597.76/825.03 = 335.86/x
  3. Step 3: Cross multiply
    597.76x = 825.03 × 335.86
  4. Step 4: Simplify right side
    597.76x = 277,094.58
  5. Step 5: Solve for x
    x = 277,094.58/597.76
  6. Step 6: Final answer
    x = 463.55

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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.