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Finding the Fourth Proportional to 601.80, 900.36 and 532.56

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Solution

The fourth proportional to 601.80, 900.36 and 532.56 is: 796.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.80 : 900.36 = 532.56 : x
  2. Step 2: Convert to fraction form
    601.80/900.36 = 532.56/x
  3. Step 3: Cross multiply
    601.80x = 900.36 × 532.56
  4. Step 4: Simplify right side
    601.80x = 479,495.72
  5. Step 5: Solve for x
    x = 479,495.72/601.80
  6. Step 6: Final answer
    x = 796.77

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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.