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Finding the Fourth Proportional to 464.58, 696.42 and 156.24

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Solution

The fourth proportional to 464.58, 696.42 and 156.24 is: 234.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.58 : 696.42 = 156.24 : x
  2. Step 2: Convert to fraction form
    464.58/696.42 = 156.24/x
  3. Step 3: Cross multiply
    464.58x = 696.42 × 156.24
  4. Step 4: Simplify right side
    464.58x = 108,808.66
  5. Step 5: Solve for x
    x = 108,808.66/464.58
  6. Step 6: Final answer
    x = 234.21

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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.