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Finding the Fourth Proportional to 677.96, 935.49 and 383.22

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Solution

The fourth proportional to 677.96, 935.49 and 383.22 is: 528.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.96 : 935.49 = 383.22 : x
  2. Step 2: Convert to fraction form
    677.96/935.49 = 383.22/x
  3. Step 3: Cross multiply
    677.96x = 935.49 × 383.22
  4. Step 4: Simplify right side
    677.96x = 358,498.48
  5. Step 5: Solve for x
    x = 358,498.48/677.96
  6. Step 6: Final answer
    x = 528.79

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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.