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Finding the Fourth Proportional to 356.19, 491.61 and 283.07

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Solution

The fourth proportional to 356.19, 491.61 and 283.07 is: 390.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.19 : 491.61 = 283.07 : x
  2. Step 2: Convert to fraction form
    356.19/491.61 = 283.07/x
  3. Step 3: Cross multiply
    356.19x = 491.61 × 283.07
  4. Step 4: Simplify right side
    356.19x = 139,157.58
  5. Step 5: Solve for x
    x = 139,157.58/356.19
  6. Step 6: Final answer
    x = 390.68

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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.