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Finding the Fourth Proportional to 601.44, 903 and 464.58

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Solution

The fourth proportional to 601.44, 903 and 464.58 is: 697.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.44 : 903 = 464.58 : x
  2. Step 2: Convert to fraction form
    601.44/903 = 464.58/x
  3. Step 3: Cross multiply
    601.44x = 903 × 464.58
  4. Step 4: Simplify right side
    601.44x = 419,515.74
  5. Step 5: Solve for x
    x = 419,515.74/601.44
  6. Step 6: Final answer
    x = 697.52

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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.