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Finding the Fourth Proportional to 673.46, 929.13 and 440.90

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Solution

The fourth proportional to 673.46, 929.13 and 440.90 is: 608.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.46 : 929.13 = 440.90 : x
  2. Step 2: Convert to fraction form
    673.46/929.13 = 440.90/x
  3. Step 3: Cross multiply
    673.46x = 929.13 × 440.90
  4. Step 4: Simplify right side
    673.46x = 409,653.42
  5. Step 5: Solve for x
    x = 409,653.42/673.46
  6. Step 6: Final answer
    x = 608.28

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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.