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Finding the Fourth Proportional to 464.06, 696.20 and 175.50

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Solution

The fourth proportional to 464.06, 696.20 and 175.50 is: 263.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.06 : 696.20 = 175.50 : x
  2. Step 2: Convert to fraction form
    464.06/696.20 = 175.50/x
  3. Step 3: Cross multiply
    464.06x = 696.20 × 175.50
  4. Step 4: Simplify right side
    464.06x = 122,182.22
  5. Step 5: Solve for x
    x = 122,182.22/464.06
  6. Step 6: Final answer
    x = 263.29

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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.