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Finding the Fourth Proportional to 607.45, 910.84 and 299.23

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Solution

The fourth proportional to 607.45, 910.84 and 299.23 is: 448.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.45 : 910.84 = 299.23 : x
  2. Step 2: Convert to fraction form
    607.45/910.84 = 299.23/x
  3. Step 3: Cross multiply
    607.45x = 910.84 × 299.23
  4. Step 4: Simplify right side
    607.45x = 272,550.65
  5. Step 5: Solve for x
    x = 272,550.65/607.45
  6. Step 6: Final answer
    x = 448.68

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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.