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Finding the Fourth Proportional to 500.37, 690.27 and 313.76

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Solution

The fourth proportional to 500.37, 690.27 and 313.76 is: 432.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.37 : 690.27 = 313.76 : x
  2. Step 2: Convert to fraction form
    500.37/690.27 = 313.76/x
  3. Step 3: Cross multiply
    500.37x = 690.27 × 313.76
  4. Step 4: Simplify right side
    500.37x = 216,579.66
  5. Step 5: Solve for x
    x = 216,579.66/500.37
  6. Step 6: Final answer
    x = 432.84

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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.