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Finding the Fourth Proportional to 619.65, 854.75 and 409.83

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Solution

The fourth proportional to 619.65, 854.75 and 409.83 is: 565.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.65 : 854.75 = 409.83 : x
  2. Step 2: Convert to fraction form
    619.65/854.75 = 409.83/x
  3. Step 3: Cross multiply
    619.65x = 854.75 × 409.83
  4. Step 4: Simplify right side
    619.65x = 350,300.14
  5. Step 5: Solve for x
    x = 350,300.14/619.65
  6. Step 6: Final answer
    x = 565.32

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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.