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Finding the Fourth Proportional to 464.59, 696.48 and 176.23

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Solution

The fourth proportional to 464.59, 696.48 and 176.23 is: 264.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.59 : 696.48 = 176.23 : x
  2. Step 2: Convert to fraction form
    464.59/696.48 = 176.23/x
  3. Step 3: Cross multiply
    464.59x = 696.48 × 176.23
  4. Step 4: Simplify right side
    464.59x = 122,742.19
  5. Step 5: Solve for x
    x = 122,742.19/464.59
  6. Step 6: Final answer
    x = 264.19

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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.