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Finding the Fourth Proportional to 464.77, 697.05 and 176.14

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Solution

The fourth proportional to 464.77, 697.05 and 176.14 is: 264.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.77 : 697.05 = 176.14 : x
  2. Step 2: Convert to fraction form
    464.77/697.05 = 176.14/x
  3. Step 3: Cross multiply
    464.77x = 697.05 × 176.14
  4. Step 4: Simplify right side
    464.77x = 122,778.39
  5. Step 5: Solve for x
    x = 122,778.39/464.77
  6. Step 6: Final answer
    x = 264.17

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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.