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Finding the Fourth Proportional to 464.00, 695.25 and 309.69

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Solution

The fourth proportional to 464.00, 695.25 and 309.69 is: 464.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.00 : 695.25 = 309.69 : x
  2. Step 2: Convert to fraction form
    464.00/695.25 = 309.69/x
  3. Step 3: Cross multiply
    464.00x = 695.25 × 309.69
  4. Step 4: Simplify right side
    464.00x = 215,311.97
  5. Step 5: Solve for x
    x = 215,311.97/464.00
  6. Step 6: Final answer
    x = 464.04

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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.