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Finding the Fourth Proportional to 605.64, 908.04 and 312.57

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Solution

The fourth proportional to 605.64, 908.04 and 312.57 is: 468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.64 : 908.04 = 312.57 : x
  2. Step 2: Convert to fraction form
    605.64/908.04 = 312.57/x
  3. Step 3: Cross multiply
    605.64x = 908.04 × 312.57
  4. Step 4: Simplify right side
    605.64x = 283,826.06
  5. Step 5: Solve for x
    x = 283,826.06/605.64
  6. Step 6: Final answer
    x = 468.64

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Why These Related Problems?

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