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Finding the Fourth Proportional to 313.29, 432.81 and 310.86

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Solution

The fourth proportional to 313.29, 432.81 and 310.86 is: 429.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.29 : 432.81 = 310.86 : x
  2. Step 2: Convert to fraction form
    313.29/432.81 = 310.86/x
  3. Step 3: Cross multiply
    313.29x = 432.81 × 310.86
  4. Step 4: Simplify right side
    313.29x = 134,543.32
  5. Step 5: Solve for x
    x = 134,543.32/313.29
  6. Step 6: Final answer
    x = 429.45

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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.