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Finding the Fourth Proportional to 335.74, 501.17 and 310.37

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Solution

The fourth proportional to 335.74, 501.17 and 310.37 is: 463.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.74 : 501.17 = 310.37 : x
  2. Step 2: Convert to fraction form
    335.74/501.17 = 310.37/x
  3. Step 3: Cross multiply
    335.74x = 501.17 × 310.37
  4. Step 4: Simplify right side
    335.74x = 155,547.17
  5. Step 5: Solve for x
    x = 155,547.17/335.74
  6. Step 6: Final answer
    x = 463.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.