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Finding the Fourth Proportional to 673.15, 929.12 and 523.74

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Solution

The fourth proportional to 673.15, 929.12 and 523.74 is: 722.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.15 : 929.12 = 523.74 : x
  2. Step 2: Convert to fraction form
    673.15/929.12 = 523.74/x
  3. Step 3: Cross multiply
    673.15x = 929.12 × 523.74
  4. Step 4: Simplify right side
    673.15x = 486,617.31
  5. Step 5: Solve for x
    x = 486,617.31/673.15
  6. Step 6: Final answer
    x = 722.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.