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Finding the Fourth Proportional to 464.90, 697.34 and 176.12

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Solution

The fourth proportional to 464.90, 697.34 and 176.12 is: 264.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.90 : 697.34 = 176.12 : x
  2. Step 2: Convert to fraction form
    464.90/697.34 = 176.12/x
  3. Step 3: Cross multiply
    464.90x = 697.34 × 176.12
  4. Step 4: Simplify right side
    464.90x = 122,815.52
  5. Step 5: Solve for x
    x = 122,815.52/464.90
  6. Step 6: Final answer
    x = 264.18

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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.