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Finding the Fourth Proportional to 670.29, 1,005.27 and 377.91

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Solution

The fourth proportional to 670.29, 1,005.27 and 377.91 is: 566.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.29 : 1,005.27 = 377.91 : x
  2. Step 2: Convert to fraction form
    670.29/1,005.27 = 377.91/x
  3. Step 3: Cross multiply
    670.29x = 1,005.27 × 377.91
  4. Step 4: Simplify right side
    670.29x = 379,901.59
  5. Step 5: Solve for x
    x = 379,901.59/670.29
  6. Step 6: Final answer
    x = 566.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.