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Finding the Fourth Proportional to 597.68, 824.80 and 335.76

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Solution

The fourth proportional to 597.68, 824.80 and 335.76 is: 463.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.68 : 824.80 = 335.76 : x
  2. Step 2: Convert to fraction form
    597.68/824.80 = 335.76/x
  3. Step 3: Cross multiply
    597.68x = 824.80 × 335.76
  4. Step 4: Simplify right side
    597.68x = 276,934.85
  5. Step 5: Solve for x
    x = 276,934.85/597.68
  6. Step 6: Final answer
    x = 463.35

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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.