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Finding the Fourth Proportional to 464.63, 696.84 and 135.57

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Solution

The fourth proportional to 464.63, 696.84 and 135.57 is: 203.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.63 : 696.84 = 135.57 : x
  2. Step 2: Convert to fraction form
    464.63/696.84 = 135.57/x
  3. Step 3: Cross multiply
    464.63x = 696.84 × 135.57
  4. Step 4: Simplify right side
    464.63x = 94,470.60
  5. Step 5: Solve for x
    x = 94,470.60/464.63
  6. Step 6: Final answer
    x = 203.32

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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.