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Finding the Fourth Proportional to 464.76, 697.97 and 256.45

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Solution

The fourth proportional to 464.76, 697.97 and 256.45 is: 385.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.76 : 697.97 = 256.45 : x
  2. Step 2: Convert to fraction form
    464.76/697.97 = 256.45/x
  3. Step 3: Cross multiply
    464.76x = 697.97 × 256.45
  4. Step 4: Simplify right side
    464.76x = 178,994.41
  5. Step 5: Solve for x
    x = 178,994.41/464.76
  6. Step 6: Final answer
    x = 385.13

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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.