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Finding the Fourth Proportional to 677.86, 935.46 and 383.14

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Solution

The fourth proportional to 677.86, 935.46 and 383.14 is: 528.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.86 : 935.46 = 383.14 : x
  2. Step 2: Convert to fraction form
    677.86/935.46 = 383.14/x
  3. Step 3: Cross multiply
    677.86x = 935.46 × 383.14
  4. Step 4: Simplify right side
    677.86x = 358,412.14
  5. Step 5: Solve for x
    x = 358,412.14/677.86
  6. Step 6: Final answer
    x = 528.74

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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.