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Finding the Fourth Proportional to 677.86, 935.44 and 383.06

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Solution

The fourth proportional to 677.86, 935.44 and 383.06 is: 528.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.86 : 935.44 = 383.06 : x
  2. Step 2: Convert to fraction form
    677.86/935.44 = 383.06/x
  3. Step 3: Cross multiply
    677.86x = 935.44 × 383.06
  4. Step 4: Simplify right side
    677.86x = 358,329.65
  5. Step 5: Solve for x
    x = 358,329.65/677.86
  6. Step 6: Final answer
    x = 528.62

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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.