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Finding the Fourth Proportional to 619.54, 854.97 and 354.02

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Solution

The fourth proportional to 619.54, 854.97 and 354.02 is: 488.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.54 : 854.97 = 354.02 : x
  2. Step 2: Convert to fraction form
    619.54/854.97 = 354.02/x
  3. Step 3: Cross multiply
    619.54x = 854.97 × 354.02
  4. Step 4: Simplify right side
    619.54x = 302,674.47
  5. Step 5: Solve for x
    x = 302,674.47/619.54
  6. Step 6: Final answer
    x = 488.55

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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.