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Finding the Fourth Proportional to 468.60, 645.94 and 313.08

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Solution

The fourth proportional to 468.60, 645.94 and 313.08 is: 431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.60 : 645.94 = 313.08 : x
  2. Step 2: Convert to fraction form
    468.60/645.94 = 313.08/x
  3. Step 3: Cross multiply
    468.60x = 645.94 × 313.08
  4. Step 4: Simplify right side
    468.60x = 202,230.90
  5. Step 5: Solve for x
    x = 202,230.90/468.60
  6. Step 6: Final answer
    x = 431.56

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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.