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Finding the Fourth Proportional to 521.42, 719.57 and 285.37

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Solution

The fourth proportional to 521.42, 719.57 and 285.37 is: 393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.42 : 719.57 = 285.37 : x
  2. Step 2: Convert to fraction form
    521.42/719.57 = 285.37/x
  3. Step 3: Cross multiply
    521.42x = 719.57 × 285.37
  4. Step 4: Simplify right side
    521.42x = 205,343.69
  5. Step 5: Solve for x
    x = 205,343.69/521.42
  6. Step 6: Final answer
    x = 393.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.