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Finding the Fourth Proportional to 678.58, 936.45 and 416.50

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Solution

The fourth proportional to 678.58, 936.45 and 416.50 is: 574.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.58 : 936.45 = 416.50 : x
  2. Step 2: Convert to fraction form
    678.58/936.45 = 416.50/x
  3. Step 3: Cross multiply
    678.58x = 936.45 × 416.50
  4. Step 4: Simplify right side
    678.58x = 390,031.43
  5. Step 5: Solve for x
    x = 390,031.43/678.58
  6. Step 6: Final answer
    x = 574.78

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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.