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Finding the Fourth Proportional to 619.35, 854.10 and 409.71

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Solution

The fourth proportional to 619.35, 854.10 and 409.71 is: 565.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.35 : 854.10 = 409.71 : x
  2. Step 2: Convert to fraction form
    619.35/854.10 = 409.71/x
  3. Step 3: Cross multiply
    619.35x = 854.10 × 409.71
  4. Step 4: Simplify right side
    619.35x = 349,933.31
  5. Step 5: Solve for x
    x = 349,933.31/619.35
  6. Step 6: Final answer
    x = 565.00

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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.