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Finding the Fourth Proportional to 464.74, 697.79 and 205.03

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Solution

The fourth proportional to 464.74, 697.79 and 205.03 is: 307.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.74 : 697.79 = 205.03 : x
  2. Step 2: Convert to fraction form
    464.74/697.79 = 205.03/x
  3. Step 3: Cross multiply
    464.74x = 697.79 × 205.03
  4. Step 4: Simplify right side
    464.74x = 143,068.69
  5. Step 5: Solve for x
    x = 143,068.69/464.74
  6. Step 6: Final answer
    x = 307.85

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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.