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Finding the Fourth Proportional to 464.05, 694.93 and 360.47

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Solution

The fourth proportional to 464.05, 694.93 and 360.47 is: 539.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.05 : 694.93 = 360.47 : x
  2. Step 2: Convert to fraction form
    464.05/694.93 = 360.47/x
  3. Step 3: Cross multiply
    464.05x = 694.93 × 360.47
  4. Step 4: Simplify right side
    464.05x = 250,501.42
  5. Step 5: Solve for x
    x = 250,501.42/464.05
  6. Step 6: Final answer
    x = 539.82

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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.