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Finding the Fourth Proportional to 673, 928.84 and 407.46

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Solution

The fourth proportional to 673, 928.84 and 407.46 is: 562.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    673 : 928.84 = 407.46 : x
  2. Step 2: Convert to fraction form
    673/928.84 = 407.46/x
  3. Step 3: Cross multiply
    673x = 928.84 × 407.46
  4. Step 4: Simplify right side
    673x = 378,465.15
  5. Step 5: Solve for x
    x = 378,465.15/673
  6. Step 6: Final answer
    x = 562.36

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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.