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Finding the Fourth Proportional to 464.61, 696.56 and 175.89

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Solution

The fourth proportional to 464.61, 696.56 and 175.89 is: 263.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.61 : 696.56 = 175.89 : x
  2. Step 2: Convert to fraction form
    464.61/696.56 = 175.89/x
  3. Step 3: Cross multiply
    464.61x = 696.56 × 175.89
  4. Step 4: Simplify right side
    464.61x = 122,517.06
  5. Step 5: Solve for x
    x = 122,517.06/464.61
  6. Step 6: Final answer
    x = 263.70

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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.