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Finding the Fourth Proportional to 673.61, 929.25 and 452.88

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Solution

The fourth proportional to 673.61, 929.25 and 452.88 is: 624.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.61 : 929.25 = 452.88 : x
  2. Step 2: Convert to fraction form
    673.61/929.25 = 452.88/x
  3. Step 3: Cross multiply
    673.61x = 929.25 × 452.88
  4. Step 4: Simplify right side
    673.61x = 420,838.74
  5. Step 5: Solve for x
    x = 420,838.74/673.61
  6. Step 6: Final answer
    x = 624.76

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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.