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Finding the Fourth Proportional to 621.41, 931.74 and 292.42

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Solution

The fourth proportional to 621.41, 931.74 and 292.42 is: 438.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.41 : 931.74 = 292.42 : x
  2. Step 2: Convert to fraction form
    621.41/931.74 = 292.42/x
  3. Step 3: Cross multiply
    621.41x = 931.74 × 292.42
  4. Step 4: Simplify right side
    621.41x = 272,462.02
  5. Step 5: Solve for x
    x = 272,462.02/621.41
  6. Step 6: Final answer
    x = 438.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.