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Finding the Fourth Proportional to 619.72, 929.51 and 414.42

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Solution

The fourth proportional to 619.72, 929.51 and 414.42 is: 621.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.72 : 929.51 = 414.42 : x
  2. Step 2: Convert to fraction form
    619.72/929.51 = 414.42/x
  3. Step 3: Cross multiply
    619.72x = 929.51 × 414.42
  4. Step 4: Simplify right side
    619.72x = 385,203.53
  5. Step 5: Solve for x
    x = 385,203.53/619.72
  6. Step 6: Final answer
    x = 621.58

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