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Finding the Fourth Proportional to 673.70, 929.13 and 499.46

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Solution

The fourth proportional to 673.70, 929.13 and 499.46 is: 688.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.70 : 929.13 = 499.46 : x
  2. Step 2: Convert to fraction form
    673.70/929.13 = 499.46/x
  3. Step 3: Cross multiply
    673.70x = 929.13 × 499.46
  4. Step 4: Simplify right side
    673.70x = 464,063.27
  5. Step 5: Solve for x
    x = 464,063.27/673.70
  6. Step 6: Final answer
    x = 688.83

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1.5x scale

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.