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Finding the Fourth Proportional to 601.14, 901.71 and 312.51

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Solution

The fourth proportional to 601.14, 901.71 and 312.51 is: 468.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.14 : 901.71 = 312.51 : x
  2. Step 2: Convert to fraction form
    601.14/901.71 = 312.51/x
  3. Step 3: Cross multiply
    601.14x = 901.71 × 312.51
  4. Step 4: Simplify right side
    601.14x = 281,793.39
  5. Step 5: Solve for x
    x = 281,793.39/601.14
  6. Step 6: Final answer
    x = 468.77

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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.