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Finding the Fourth Proportional to 356.46, 491.40 and 282.66

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Solution

The fourth proportional to 356.46, 491.40 and 282.66 is: 389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.46 : 491.40 = 282.66 : x
  2. Step 2: Convert to fraction form
    356.46/491.40 = 282.66/x
  3. Step 3: Cross multiply
    356.46x = 491.40 × 282.66
  4. Step 4: Simplify right side
    356.46x = 138,899.12
  5. Step 5: Solve for x
    x = 138,899.12/356.46
  6. Step 6: Final answer
    x = 389.66

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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.