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Finding the Fourth Proportional to 464.68, 696.54 and 256.48

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Solution

The fourth proportional to 464.68, 696.54 and 256.48 is: 384.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.68 : 696.54 = 256.48 : x
  2. Step 2: Convert to fraction form
    464.68/696.54 = 256.48/x
  3. Step 3: Cross multiply
    464.68x = 696.54 × 256.48
  4. Step 4: Simplify right side
    464.68x = 178,648.58
  5. Step 5: Solve for x
    x = 178,648.58/464.68
  6. Step 6: Final answer
    x = 384.46

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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.