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Finding the Fourth Proportional to 678.61, 936.46 and 383.88

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Solution

The fourth proportional to 678.61, 936.46 and 383.88 is: 529.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.61 : 936.46 = 383.88 : x
  2. Step 2: Convert to fraction form
    678.61/936.46 = 383.88/x
  3. Step 3: Cross multiply
    678.61x = 936.46 × 383.88
  4. Step 4: Simplify right side
    678.61x = 359,488.26
  5. Step 5: Solve for x
    x = 359,488.26/678.61
  6. Step 6: Final answer
    x = 529.74

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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.