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Finding the Fourth Proportional to 619.65, 927.05 and 414.32

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Solution

The fourth proportional to 619.65, 927.05 and 414.32 is: 619.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.65 : 927.05 = 414.32 : x
  2. Step 2: Convert to fraction form
    619.65/927.05 = 414.32/x
  3. Step 3: Cross multiply
    619.65x = 927.05 × 414.32
  4. Step 4: Simplify right side
    619.65x = 384,088.65
  5. Step 5: Solve for x
    x = 384,088.65/619.65
  6. Step 6: Final answer
    x = 619.85

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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.