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Finding the Fourth Proportional to 597.10, 824.01 and 335.14

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Solution

The fourth proportional to 597.10, 824.01 and 335.14 is: 462.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.10 : 824.01 = 335.14 : x
  2. Step 2: Convert to fraction form
    597.10/824.01 = 335.14/x
  3. Step 3: Cross multiply
    597.10x = 824.01 × 335.14
  4. Step 4: Simplify right side
    597.10x = 276,158.71
  5. Step 5: Solve for x
    x = 276,158.71/597.10
  6. Step 6: Final answer
    x = 462.50

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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.