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Finding the Fourth Proportional to 597.10, 823.93 and 335.06

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Solution

The fourth proportional to 597.10, 823.93 and 335.06 is: 462.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.10 : 823.93 = 335.06 : x
  2. Step 2: Convert to fraction form
    597.10/823.93 = 335.06/x
  3. Step 3: Cross multiply
    597.10x = 823.93 × 335.06
  4. Step 4: Simplify right side
    597.10x = 276,065.99
  5. Step 5: Solve for x
    x = 276,065.99/597.10
  6. Step 6: Final answer
    x = 462.34

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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.