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Finding the Fourth Proportional to 681.58, 1,021.42 and 356.30

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Solution

The fourth proportional to 681.58, 1,021.42 and 356.30 is: 533.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.58 : 1,021.42 = 356.30 : x
  2. Step 2: Convert to fraction form
    681.58/1,021.42 = 356.30/x
  3. Step 3: Cross multiply
    681.58x = 1,021.42 × 356.30
  4. Step 4: Simplify right side
    681.58x = 363,925.95
  5. Step 5: Solve for x
    x = 363,925.95/681.58
  6. Step 6: Final answer
    x = 533.95

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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.