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Finding the Fourth Proportional to 673.74, 1,009.53 and 442.08

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Solution

The fourth proportional to 673.74, 1,009.53 and 442.08 is: 662.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.74 : 1,009.53 = 442.08 : x
  2. Step 2: Convert to fraction form
    673.74/1,009.53 = 442.08/x
  3. Step 3: Cross multiply
    673.74x = 1,009.53 × 442.08
  4. Step 4: Simplify right side
    673.74x = 446,293.02
  5. Step 5: Solve for x
    x = 446,293.02/673.74
  6. Step 6: Final answer
    x = 662.41

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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.