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Finding the Fourth Proportional to 673.55, 1,009.60 and 234.63

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Solution

The fourth proportional to 673.55, 1,009.60 and 234.63 is: 351.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.55 : 1,009.60 = 234.63 : x
  2. Step 2: Convert to fraction form
    673.55/1,009.60 = 234.63/x
  3. Step 3: Cross multiply
    673.55x = 1,009.60 × 234.63
  4. Step 4: Simplify right side
    673.55x = 236,881.86
  5. Step 5: Solve for x
    x = 236,881.86/673.55
  6. Step 6: Final answer
    x = 351.69

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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.