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Finding the Fourth Proportional to 601.93, 829.20 and 477.55

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Solution

The fourth proportional to 601.93, 829.20 and 477.55 is: 657.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.93 : 829.20 = 477.55 : x
  2. Step 2: Convert to fraction form
    601.93/829.20 = 477.55/x
  3. Step 3: Cross multiply
    601.93x = 829.20 × 477.55
  4. Step 4: Simplify right side
    601.93x = 395,984.46
  5. Step 5: Solve for x
    x = 395,984.46/601.93
  6. Step 6: Final answer
    x = 657.86

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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.