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Finding the Fourth Proportional to 464.63, 697.28 and 176.06

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Solution

The fourth proportional to 464.63, 697.28 and 176.06 is: 264.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.63 : 697.28 = 176.06 : x
  2. Step 2: Convert to fraction form
    464.63/697.28 = 176.06/x
  3. Step 3: Cross multiply
    464.63x = 697.28 × 176.06
  4. Step 4: Simplify right side
    464.63x = 122,763.98
  5. Step 5: Solve for x
    x = 122,763.98/464.63
  6. Step 6: Final answer
    x = 264.22

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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.