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Finding the Fourth Proportional to 678.32, 936.42 and 457.28

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Solution

The fourth proportional to 678.32, 936.42 and 457.28 is: 631.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.32 : 936.42 = 457.28 : x
  2. Step 2: Convert to fraction form
    678.32/936.42 = 457.28/x
  3. Step 3: Cross multiply
    678.32x = 936.42 × 457.28
  4. Step 4: Simplify right side
    678.32x = 428,206.14
  5. Step 5: Solve for x
    x = 428,206.14/678.32
  6. Step 6: Final answer
    x = 631.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.