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Finding the Fourth Proportional to 356.19, 491.55 and 256.62

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Solution

The fourth proportional to 356.19, 491.55 and 256.62 is: 354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.19 : 491.55 = 256.62 : x
  2. Step 2: Convert to fraction form
    356.19/491.55 = 256.62/x
  3. Step 3: Cross multiply
    356.19x = 491.55 × 256.62
  4. Step 4: Simplify right side
    356.19x = 126,141.56
  5. Step 5: Solve for x
    x = 126,141.56/356.19
  6. Step 6: Final answer
    x = 354.14

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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.