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Finding the Fourth Proportional to 600.45, 901.35 and 464.10

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Solution

The fourth proportional to 600.45, 901.35 and 464.10 is: 696.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.45 : 901.35 = 464.10 : x
  2. Step 2: Convert to fraction form
    600.45/901.35 = 464.10/x
  3. Step 3: Cross multiply
    600.45x = 901.35 × 464.10
  4. Step 4: Simplify right side
    600.45x = 418,316.54
  5. Step 5: Solve for x
    x = 418,316.54/600.45
  6. Step 6: Final answer
    x = 696.67

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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.