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Finding the Fourth Proportional to 678.76, 936.64 and 384.06

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Solution

The fourth proportional to 678.76, 936.64 and 384.06 is: 529.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.76 : 936.64 = 384.06 : x
  2. Step 2: Convert to fraction form
    678.76/936.64 = 384.06/x
  3. Step 3: Cross multiply
    678.76x = 936.64 × 384.06
  4. Step 4: Simplify right side
    678.76x = 359,725.96
  5. Step 5: Solve for x
    x = 359,725.96/678.76
  6. Step 6: Final answer
    x = 529.98

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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.