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Finding the Fourth Proportional to 464.94, 697.38 and 245.53

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Solution

The fourth proportional to 464.94, 697.38 and 245.53 is: 368.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.94 : 697.38 = 245.53 : x
  2. Step 2: Convert to fraction form
    464.94/697.38 = 245.53/x
  3. Step 3: Cross multiply
    464.94x = 697.38 × 245.53
  4. Step 4: Simplify right side
    464.94x = 171,227.66
  5. Step 5: Solve for x
    x = 171,227.66/464.94
  6. Step 6: Final answer
    x = 368.28

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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.