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Finding the Fourth Proportional to 677.96, 935.46 and 429.32

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Solution

The fourth proportional to 677.96, 935.46 and 429.32 is: 592.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.96 : 935.46 = 429.32 : x
  2. Step 2: Convert to fraction form
    677.96/935.46 = 429.32/x
  3. Step 3: Cross multiply
    677.96x = 935.46 × 429.32
  4. Step 4: Simplify right side
    677.96x = 401,611.69
  5. Step 5: Solve for x
    x = 401,611.69/677.96
  6. Step 6: Final answer
    x = 592.38

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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.