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Finding the Fourth Proportional to 310.93, 430.99 and 305.76

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Solution

The fourth proportional to 310.93, 430.99 and 305.76 is: 423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.93 : 430.99 = 305.76 : x
  2. Step 2: Convert to fraction form
    310.93/430.99 = 305.76/x
  3. Step 3: Cross multiply
    310.93x = 430.99 × 305.76
  4. Step 4: Simplify right side
    310.93x = 131,779.50
  5. Step 5: Solve for x
    x = 131,779.50/310.93
  6. Step 6: Final answer
    x = 423.82

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.