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Finding the Fourth Proportional to 678.41, 936.47 and 458.00

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Solution

The fourth proportional to 678.41, 936.47 and 458.00 is: 632.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.41 : 936.47 = 458.00 : x
  2. Step 2: Convert to fraction form
    678.41/936.47 = 458.00/x
  3. Step 3: Cross multiply
    678.41x = 936.47 × 458.00
  4. Step 4: Simplify right side
    678.41x = 428,899.72
  5. Step 5: Solve for x
    x = 428,899.72/678.41
  6. Step 6: Final answer
    x = 632.22

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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.