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Finding the Fourth Proportional to 678.26, 935.82 and 383.52

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Solution

The fourth proportional to 678.26, 935.82 and 383.52 is: 529.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.26 : 935.82 = 383.52 : x
  2. Step 2: Convert to fraction form
    678.26/935.82 = 383.52/x
  3. Step 3: Cross multiply
    678.26x = 935.82 × 383.52
  4. Step 4: Simplify right side
    678.26x = 358,905.69
  5. Step 5: Solve for x
    x = 358,905.69/678.26
  6. Step 6: Final answer
    x = 529.16

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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.