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Finding the Fourth Proportional to 673.92, 929.66 and 425.07

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Solution

The fourth proportional to 673.92, 929.66 and 425.07 is: 586.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.92 : 929.66 = 425.07 : x
  2. Step 2: Convert to fraction form
    673.92/929.66 = 425.07/x
  3. Step 3: Cross multiply
    673.92x = 929.66 × 425.07
  4. Step 4: Simplify right side
    673.92x = 395,168.45
  5. Step 5: Solve for x
    x = 395,168.45/673.92
  6. Step 6: Final answer
    x = 586.37

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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.