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Finding the Fourth Proportional to 619.02, 854.24 and 339.23

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Solution

The fourth proportional to 619.02, 854.24 and 339.23 is: 468.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.02 : 854.24 = 339.23 : x
  2. Step 2: Convert to fraction form
    619.02/854.24 = 339.23/x
  3. Step 3: Cross multiply
    619.02x = 854.24 × 339.23
  4. Step 4: Simplify right side
    619.02x = 289,784.27
  5. Step 5: Solve for x
    x = 289,784.27/619.02
  6. Step 6: Final answer
    x = 468.13

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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.