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Finding the Fourth Proportional to 677.22, 934.78 and 456.10

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Solution

The fourth proportional to 677.22, 934.78 and 456.10 is: 629.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.22 : 934.78 = 456.10 : x
  2. Step 2: Convert to fraction form
    677.22/934.78 = 456.10/x
  3. Step 3: Cross multiply
    677.22x = 934.78 × 456.10
  4. Step 4: Simplify right side
    677.22x = 426,353.16
  5. Step 5: Solve for x
    x = 426,353.16/677.22
  6. Step 6: Final answer
    x = 629.56

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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.