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Finding the Fourth Proportional to 464.87, 696.89 and 256.34

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Solution

The fourth proportional to 464.87, 696.89 and 256.34 is: 384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.87 : 696.89 = 256.34 : x
  2. Step 2: Convert to fraction form
    464.87/696.89 = 256.34/x
  3. Step 3: Cross multiply
    464.87x = 696.89 × 256.34
  4. Step 4: Simplify right side
    464.87x = 178,643.17
  5. Step 5: Solve for x
    x = 178,643.17/464.87
  6. Step 6: Final answer
    x = 384.28

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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.