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Finding the Fourth Proportional to 597.07, 823.98 and 335.10

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Solution

The fourth proportional to 597.07, 823.98 and 335.10 is: 462.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.07 : 823.98 = 335.10 : x
  2. Step 2: Convert to fraction form
    597.07/823.98 = 335.10/x
  3. Step 3: Cross multiply
    597.07x = 823.98 × 335.10
  4. Step 4: Simplify right side
    597.07x = 276,115.70
  5. Step 5: Solve for x
    x = 276,115.70/597.07
  6. Step 6: Final answer
    x = 462.45

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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.