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Finding the Fourth Proportional to 674.30, 1,009.53 and 442.68

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Solution

The fourth proportional to 674.30, 1,009.53 and 442.68 is: 662.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.30 : 1,009.53 = 442.68 : x
  2. Step 2: Convert to fraction form
    674.30/1,009.53 = 442.68/x
  3. Step 3: Cross multiply
    674.30x = 1,009.53 × 442.68
  4. Step 4: Simplify right side
    674.30x = 446,898.74
  5. Step 5: Solve for x
    x = 446,898.74/674.30
  6. Step 6: Final answer
    x = 662.76

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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.