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Finding the Fourth Proportional to 464.19, 696.59 and 175.63

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Solution

The fourth proportional to 464.19, 696.59 and 175.63 is: 263.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.19 : 696.59 = 175.63 : x
  2. Step 2: Convert to fraction form
    464.19/696.59 = 175.63/x
  3. Step 3: Cross multiply
    464.19x = 696.59 × 175.63
  4. Step 4: Simplify right side
    464.19x = 122,342.10
  5. Step 5: Solve for x
    x = 122,342.10/464.19
  6. Step 6: Final answer
    x = 263.56

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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.