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Finding the Fourth Proportional to 356.16, 491.22 and 282.18

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Solution

The fourth proportional to 356.16, 491.22 and 282.18 is: 389.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.16 : 491.22 = 282.18 : x
  2. Step 2: Convert to fraction form
    356.16/491.22 = 282.18/x
  3. Step 3: Cross multiply
    356.16x = 491.22 × 282.18
  4. Step 4: Simplify right side
    356.16x = 138,612.46
  5. Step 5: Solve for x
    x = 138,612.46/356.16
  6. Step 6: Final answer
    x = 389.19

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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.