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Finding the Fourth Proportional to 538.14, 805.59 and 322.14

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Solution

The fourth proportional to 538.14, 805.59 and 322.14 is: 482.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.14 : 805.59 = 322.14 : x
  2. Step 2: Convert to fraction form
    538.14/805.59 = 322.14/x
  3. Step 3: Cross multiply
    538.14x = 805.59 × 322.14
  4. Step 4: Simplify right side
    538.14x = 259,512.76
  5. Step 5: Solve for x
    x = 259,512.76/538.14
  6. Step 6: Final answer
    x = 482.24

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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.