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Finding the Fourth Proportional to 521.53, 719.70 and 285.48

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Solution

The fourth proportional to 521.53, 719.70 and 285.48 is: 393.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.53 : 719.70 = 285.48 : x
  2. Step 2: Convert to fraction form
    521.53/719.70 = 285.48/x
  3. Step 3: Cross multiply
    521.53x = 719.70 × 285.48
  4. Step 4: Simplify right side
    521.53x = 205,456.36
  5. Step 5: Solve for x
    x = 205,456.36/521.53
  6. Step 6: Final answer
    x = 393.95

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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.