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Finding the Fourth Proportional to 677.74, 935.25 and 383.03

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Solution

The fourth proportional to 677.74, 935.25 and 383.03 is: 528.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.74 : 935.25 = 383.03 : x
  2. Step 2: Convert to fraction form
    677.74/935.25 = 383.03/x
  3. Step 3: Cross multiply
    677.74x = 935.25 × 383.03
  4. Step 4: Simplify right side
    677.74x = 358,228.81
  5. Step 5: Solve for x
    x = 358,228.81/677.74
  6. Step 6: Final answer
    x = 528.56

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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.