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Finding the Fourth Proportional to 677.56, 934.98 and 478.47

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Solution

The fourth proportional to 677.56, 934.98 and 478.47 is: 660.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.56 : 934.98 = 478.47 : x
  2. Step 2: Convert to fraction form
    677.56/934.98 = 478.47/x
  3. Step 3: Cross multiply
    677.56x = 934.98 × 478.47
  4. Step 4: Simplify right side
    677.56x = 447,356.33
  5. Step 5: Solve for x
    x = 447,356.33/677.56
  6. Step 6: Final answer
    x = 660.25

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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.