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Finding the Fourth Proportional to 673.02, 928.31 and 411.17

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Solution

The fourth proportional to 673.02, 928.31 and 411.17 is: 567.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.02 : 928.31 = 411.17 : x
  2. Step 2: Convert to fraction form
    673.02/928.31 = 411.17/x
  3. Step 3: Cross multiply
    673.02x = 928.31 × 411.17
  4. Step 4: Simplify right side
    673.02x = 381,686.53
  5. Step 5: Solve for x
    x = 381,686.53/673.02
  6. Step 6: Final answer
    x = 567.13

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Why These Related Problems?

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