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Finding the Fourth Proportional to 551.06, 829.86 and 479.78

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Solution

The fourth proportional to 551.06, 829.86 and 479.78 is: 722.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.06 : 829.86 = 479.78 : x
  2. Step 2: Convert to fraction form
    551.06/829.86 = 479.78/x
  3. Step 3: Cross multiply
    551.06x = 829.86 × 479.78
  4. Step 4: Simplify right side
    551.06x = 398,150.23
  5. Step 5: Solve for x
    x = 398,150.23/551.06
  6. Step 6: Final answer
    x = 722.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.