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Finding the Fourth Proportional to 601.35, 902.04 and 533.71

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Solution

The fourth proportional to 601.35, 902.04 and 533.71 is: 800.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.35 : 902.04 = 533.71 : x
  2. Step 2: Convert to fraction form
    601.35/902.04 = 533.71/x
  3. Step 3: Cross multiply
    601.35x = 902.04 × 533.71
  4. Step 4: Simplify right side
    601.35x = 481,427.77
  5. Step 5: Solve for x
    x = 481,427.77/601.35
  6. Step 6: Final answer
    x = 800.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.