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Finding the Fourth Proportional to 521.42, 719.65 and 322.28

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Solution

The fourth proportional to 521.42, 719.65 and 322.28 is: 444.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.42 : 719.65 = 322.28 : x
  2. Step 2: Convert to fraction form
    521.42/719.65 = 322.28/x
  3. Step 3: Cross multiply
    521.42x = 719.65 × 322.28
  4. Step 4: Simplify right side
    521.42x = 231,927.56
  5. Step 5: Solve for x
    x = 231,927.56/521.42
  6. Step 6: Final answer
    x = 444.80

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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.