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Finding the Fourth Proportional to 488.36, 673.50 and 313.76

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Solution

The fourth proportional to 488.36, 673.50 and 313.76 is: 432.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.36 : 673.50 = 313.76 : x
  2. Step 2: Convert to fraction form
    488.36/673.50 = 313.76/x
  3. Step 3: Cross multiply
    488.36x = 673.50 × 313.76
  4. Step 4: Simplify right side
    488.36x = 211,317.36
  5. Step 5: Solve for x
    x = 211,317.36/488.36
  6. Step 6: Final answer
    x = 432.71

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