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Finding the Fourth Proportional to 619.65, 929.95 and 424.24

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Solution

The fourth proportional to 619.65, 929.95 and 424.24 is: 636.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.65 : 929.95 = 424.24 : x
  2. Step 2: Convert to fraction form
    619.65/929.95 = 424.24/x
  3. Step 3: Cross multiply
    619.65x = 929.95 × 424.24
  4. Step 4: Simplify right side
    619.65x = 394,518.60
  5. Step 5: Solve for x
    x = 394,518.60/619.65
  6. Step 6: Final answer
    x = 636.68

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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.