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Finding the Fourth Proportional to 464.02, 694.99 and 360.49

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Solution

The fourth proportional to 464.02, 694.99 and 360.49 is: 539.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.02 : 694.99 = 360.49 : x
  2. Step 2: Convert to fraction form
    464.02/694.99 = 360.49/x
  3. Step 3: Cross multiply
    464.02x = 694.99 × 360.49
  4. Step 4: Simplify right side
    464.02x = 250,536.95
  5. Step 5: Solve for x
    x = 250,536.95/464.02
  6. Step 6: Final answer
    x = 539.93

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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.