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Finding the Fourth Proportional to 538.20, 807.63 and 294.81

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Solution

The fourth proportional to 538.20, 807.63 and 294.81 is: 442.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.20 : 807.63 = 294.81 : x
  2. Step 2: Convert to fraction form
    538.20/807.63 = 294.81/x
  3. Step 3: Cross multiply
    538.20x = 807.63 × 294.81
  4. Step 4: Simplify right side
    538.20x = 238,097.40
  5. Step 5: Solve for x
    x = 238,097.40/538.20
  6. Step 6: Final answer
    x = 442.40

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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.