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Finding the Fourth Proportional to 601.62, 901.10 and 463.66

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Solution

The fourth proportional to 601.62, 901.10 and 463.66 is: 694.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.62 : 901.10 = 463.66 : x
  2. Step 2: Convert to fraction form
    601.62/901.10 = 463.66/x
  3. Step 3: Cross multiply
    601.62x = 901.10 × 463.66
  4. Step 4: Simplify right side
    601.62x = 417,804.03
  5. Step 5: Solve for x
    x = 417,804.03/601.62
  6. Step 6: Final answer
    x = 694.46

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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.