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Finding the Fourth Proportional to 597.42, 824.40 and 335.40

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Solution

The fourth proportional to 597.42, 824.40 and 335.40 is: 462.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.42 : 824.40 = 335.40 : x
  2. Step 2: Convert to fraction form
    597.42/824.40 = 335.40/x
  3. Step 3: Cross multiply
    597.42x = 824.40 × 335.40
  4. Step 4: Simplify right side
    597.42x = 276,503.76
  5. Step 5: Solve for x
    x = 276,503.76/597.42
  6. Step 6: Final answer
    x = 462.83

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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.