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Finding the Fourth Proportional to 619.99, 929.58 and 307.42

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Solution

The fourth proportional to 619.99, 929.58 and 307.42 is: 460.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.99 : 929.58 = 307.42 : x
  2. Step 2: Convert to fraction form
    619.99/929.58 = 307.42/x
  3. Step 3: Cross multiply
    619.99x = 929.58 × 307.42
  4. Step 4: Simplify right side
    619.99x = 285,766.84
  5. Step 5: Solve for x
    x = 285,766.84/619.99
  6. Step 6: Final answer
    x = 460.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.