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Finding the Fourth Proportional to 673.17, 928.82 and 407.66

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Solution

The fourth proportional to 673.17, 928.82 and 407.66 is: 562.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.17 : 928.82 = 407.66 : x
  2. Step 2: Convert to fraction form
    673.17/928.82 = 407.66/x
  3. Step 3: Cross multiply
    673.17x = 928.82 × 407.66
  4. Step 4: Simplify right side
    673.17x = 378,642.76
  5. Step 5: Solve for x
    x = 378,642.76/673.17
  6. Step 6: Final answer
    x = 562.48

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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.