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Finding the Fourth Proportional to 464.30, 693.26 and 452.00

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Solution

The fourth proportional to 464.30, 693.26 and 452.00 is: 674.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.30 : 693.26 = 452.00 : x
  2. Step 2: Convert to fraction form
    464.30/693.26 = 452.00/x
  3. Step 3: Cross multiply
    464.30x = 693.26 × 452.00
  4. Step 4: Simplify right side
    464.30x = 313,350.79
  5. Step 5: Solve for x
    x = 313,350.79/464.30
  6. Step 6: Final answer
    x = 674.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.