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Finding the Fourth Proportional to 464.63, 697.14 and 176.27

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Solution

The fourth proportional to 464.63, 697.14 and 176.27 is: 264.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.63 : 697.14 = 176.27 : x
  2. Step 2: Convert to fraction form
    464.63/697.14 = 176.27/x
  3. Step 3: Cross multiply
    464.63x = 697.14 × 176.27
  4. Step 4: Simplify right side
    464.63x = 122,881.38
  5. Step 5: Solve for x
    x = 122,881.38/464.63
  6. Step 6: Final answer
    x = 264.47

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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.