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Finding the Fourth Proportional to 677.70, 935.27 and 383.06

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Solution

The fourth proportional to 677.70, 935.27 and 383.06 is: 528.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.70 : 935.27 = 383.06 : x
  2. Step 2: Convert to fraction form
    677.70/935.27 = 383.06/x
  3. Step 3: Cross multiply
    677.70x = 935.27 × 383.06
  4. Step 4: Simplify right side
    677.70x = 358,257.93
  5. Step 5: Solve for x
    x = 358,257.93/677.70
  6. Step 6: Final answer
    x = 528.64

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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.