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Finding the Fourth Proportional to 522.81, 784.17 and 291.83

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Solution

The fourth proportional to 522.81, 784.17 and 291.83 is: 437.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.81 : 784.17 = 291.83 : x
  2. Step 2: Convert to fraction form
    522.81/784.17 = 291.83/x
  3. Step 3: Cross multiply
    522.81x = 784.17 × 291.83
  4. Step 4: Simplify right side
    522.81x = 228,840.41
  5. Step 5: Solve for x
    x = 228,840.41/522.81
  6. Step 6: Final answer
    x = 437.71

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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.