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Finding the Fourth Proportional to 670.27, 924.98 and 404.73

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Solution

The fourth proportional to 670.27, 924.98 and 404.73 is: 558.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.27 : 924.98 = 404.73 : x
  2. Step 2: Convert to fraction form
    670.27/924.98 = 404.73/x
  3. Step 3: Cross multiply
    670.27x = 924.98 × 404.73
  4. Step 4: Simplify right side
    670.27x = 374,367.16
  5. Step 5: Solve for x
    x = 374,367.16/670.27
  6. Step 6: Final answer
    x = 558.53

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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.