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Finding the Fourth Proportional to 465.07, 697.51 and 176.31

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Solution

The fourth proportional to 465.07, 697.51 and 176.31 is: 264.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.07 : 697.51 = 176.31 : x
  2. Step 2: Convert to fraction form
    465.07/697.51 = 176.31/x
  3. Step 3: Cross multiply
    465.07x = 697.51 × 176.31
  4. Step 4: Simplify right side
    465.07x = 122,977.99
  5. Step 5: Solve for x
    x = 122,977.99/465.07
  6. Step 6: Final answer
    x = 264.43

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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.