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Finding the Fourth Proportional to 678.40, 936.30 and 457.24

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Solution

The fourth proportional to 678.40, 936.30 and 457.24 is: 631.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.40 : 936.30 = 457.24 : x
  2. Step 2: Convert to fraction form
    678.40/936.30 = 457.24/x
  3. Step 3: Cross multiply
    678.40x = 936.30 × 457.24
  4. Step 4: Simplify right side
    678.40x = 428,113.81
  5. Step 5: Solve for x
    x = 428,113.81/678.40
  6. Step 6: Final answer
    x = 631.06

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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.