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Finding the Fourth Proportional to 678.58, 936.47 and 383.87

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Solution

The fourth proportional to 678.58, 936.47 and 383.87 is: 529.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.58 : 936.47 = 383.87 : x
  2. Step 2: Convert to fraction form
    678.58/936.47 = 383.87/x
  3. Step 3: Cross multiply
    678.58x = 936.47 × 383.87
  4. Step 4: Simplify right side
    678.58x = 359,486.04
  5. Step 5: Solve for x
    x = 359,486.04/678.58
  6. Step 6: Final answer
    x = 529.76

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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.