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Finding the Fourth Proportional to 335.68, 503.75 and 310.30

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Solution

The fourth proportional to 335.68, 503.75 and 310.30 is: 465.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.68 : 503.75 = 310.30 : x
  2. Step 2: Convert to fraction form
    335.68/503.75 = 310.30/x
  3. Step 3: Cross multiply
    335.68x = 503.75 × 310.30
  4. Step 4: Simplify right side
    335.68x = 156,313.14
  5. Step 5: Solve for x
    x = 156,313.14/335.68
  6. Step 6: Final answer
    x = 465.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.