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Finding the Fourth Proportional to 670.29, 925.05 and 408.45

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Solution

The fourth proportional to 670.29, 925.05 and 408.45 is: 563.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.29 : 925.05 = 408.45 : x
  2. Step 2: Convert to fraction form
    670.29/925.05 = 408.45/x
  3. Step 3: Cross multiply
    670.29x = 925.05 × 408.45
  4. Step 4: Simplify right side
    670.29x = 377,836.67
  5. Step 5: Solve for x
    x = 377,836.67/670.29
  6. Step 6: Final answer
    x = 563.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.