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Finding the Fourth Proportional to 677.88, 935.11 and 429.11

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Solution

The fourth proportional to 677.88, 935.11 and 429.11 is: 591.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.88 : 935.11 = 429.11 : x
  2. Step 2: Convert to fraction form
    677.88/935.11 = 429.11/x
  3. Step 3: Cross multiply
    677.88x = 935.11 × 429.11
  4. Step 4: Simplify right side
    677.88x = 401,265.05
  5. Step 5: Solve for x
    x = 401,265.05/677.88
  6. Step 6: Final answer
    x = 591.94

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Double scale
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1.5x scale

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.