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Finding the Fourth Proportional to 538.53, 807.80 and 322.56

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Solution

The fourth proportional to 538.53, 807.80 and 322.56 is: 483.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.53 : 807.80 = 322.56 : x
  2. Step 2: Convert to fraction form
    538.53/807.80 = 322.56/x
  3. Step 3: Cross multiply
    538.53x = 807.80 × 322.56
  4. Step 4: Simplify right side
    538.53x = 260,562.36
  5. Step 5: Solve for x
    x = 260,562.36/538.53
  6. Step 6: Final answer
    x = 483.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.