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Finding the Fourth Proportional to 601.14, 901.76 and 190.29

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Solution

The fourth proportional to 601.14, 901.76 and 190.29 is: 285.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.14 : 901.76 = 190.29 : x
  2. Step 2: Convert to fraction form
    601.14/901.76 = 190.29/x
  3. Step 3: Cross multiply
    601.14x = 901.76 × 190.29
  4. Step 4: Simplify right side
    601.14x = 171,598.34
  5. Step 5: Solve for x
    x = 171,598.34/601.14
  6. Step 6: Final answer
    x = 285.45

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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.