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Finding the Fourth Proportional to 597.12, 824 and 335.14

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Solution

The fourth proportional to 597.12, 824 and 335.14 is: 462.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.12 : 824 = 335.14 : x
  2. Step 2: Convert to fraction form
    597.12/824 = 335.14/x
  3. Step 3: Cross multiply
    597.12x = 824 × 335.14
  4. Step 4: Simplify right side
    597.12x = 276,155.36
  5. Step 5: Solve for x
    x = 276,155.36/597.12
  6. Step 6: Final answer
    x = 462.48

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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.