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Finding the Fourth Proportional to 597.77, 824.96 and 335.78

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Solution

The fourth proportional to 597.77, 824.96 and 335.78 is: 463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.77 : 824.96 = 335.78 : x
  2. Step 2: Convert to fraction form
    597.77/824.96 = 335.78/x
  3. Step 3: Cross multiply
    597.77x = 824.96 × 335.78
  4. Step 4: Simplify right side
    597.77x = 277,005.07
  5. Step 5: Solve for x
    x = 277,005.07/597.77
  6. Step 6: Final answer
    x = 463.40

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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.