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Finding the Fourth Proportional to 673.87, 929.32 and 463.67

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Solution

The fourth proportional to 673.87, 929.32 and 463.67 is: 639.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.87 : 929.32 = 463.67 : x
  2. Step 2: Convert to fraction form
    673.87/929.32 = 463.67/x
  3. Step 3: Cross multiply
    673.87x = 929.32 × 463.67
  4. Step 4: Simplify right side
    673.87x = 430,903.32
  5. Step 5: Solve for x
    x = 430,903.32/673.87
  6. Step 6: Final answer
    x = 639.45

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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.