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Finding the Fourth Proportional to 464.83, 697.22 and 204.76

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Solution

The fourth proportional to 464.83, 697.22 and 204.76 is: 307.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.83 : 697.22 = 204.76 : x
  2. Step 2: Convert to fraction form
    464.83/697.22 = 204.76/x
  3. Step 3: Cross multiply
    464.83x = 697.22 × 204.76
  4. Step 4: Simplify right side
    464.83x = 142,764.53
  5. Step 5: Solve for x
    x = 142,764.53/464.83
  6. Step 6: Final answer
    x = 307.13

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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.