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Finding the Fourth Proportional to 673.19, 929.07 and 411.36

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Solution

The fourth proportional to 673.19, 929.07 and 411.36 is: 567.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.19 : 929.07 = 411.36 : x
  2. Step 2: Convert to fraction form
    673.19/929.07 = 411.36/x
  3. Step 3: Cross multiply
    673.19x = 929.07 × 411.36
  4. Step 4: Simplify right side
    673.19x = 382,182.24
  5. Step 5: Solve for x
    x = 382,182.24/673.19
  6. Step 6: Final answer
    x = 567.72

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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.