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Finding the Fourth Proportional to 597.54, 824.63 and 335.58

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Solution

The fourth proportional to 597.54, 824.63 and 335.58 is: 463.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.54 : 824.63 = 335.58 : x
  2. Step 2: Convert to fraction form
    597.54/824.63 = 335.58/x
  3. Step 3: Cross multiply
    597.54x = 824.63 × 335.58
  4. Step 4: Simplify right side
    597.54x = 276,727.66
  5. Step 5: Solve for x
    x = 276,727.66/597.54
  6. Step 6: Final answer
    x = 463.11

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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.