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Finding the Fourth Proportional to 678.22, 935.67 and 457.24

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Solution

The fourth proportional to 678.22, 935.67 and 457.24 is: 630.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.22 : 935.67 = 457.24 : x
  2. Step 2: Convert to fraction form
    678.22/935.67 = 457.24/x
  3. Step 3: Cross multiply
    678.22x = 935.67 × 457.24
  4. Step 4: Simplify right side
    678.22x = 427,823.46
  5. Step 5: Solve for x
    x = 427,823.46/678.22
  6. Step 6: Final answer
    x = 630.80

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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.