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Finding the Fourth Proportional to 619.80, 929.40 and 307.09

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Solution

The fourth proportional to 619.80, 929.40 and 307.09 is: 460.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.80 : 929.40 = 307.09 : x
  2. Step 2: Convert to fraction form
    619.80/929.40 = 307.09/x
  3. Step 3: Cross multiply
    619.80x = 929.40 × 307.09
  4. Step 4: Simplify right side
    619.80x = 285,405.19
  5. Step 5: Solve for x
    x = 285,405.19/619.80
  6. Step 6: Final answer
    x = 460.48

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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.