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Finding the Fourth Proportional to 604.16, 834.15 and 464.03

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Solution

The fourth proportional to 604.16, 834.15 and 464.03 is: 640.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.16 : 834.15 = 464.03 : x
  2. Step 2: Convert to fraction form
    604.16/834.15 = 464.03/x
  3. Step 3: Cross multiply
    604.16x = 834.15 × 464.03
  4. Step 4: Simplify right side
    604.16x = 387,068.71
  5. Step 5: Solve for x
    x = 387,068.71/604.16
  6. Step 6: Final answer
    x = 640.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.