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Finding the Fourth Proportional to 335.04, 461.96 and 310.16

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Solution

The fourth proportional to 335.04, 461.96 and 310.16 is: 427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.04 : 461.96 = 310.16 : x
  2. Step 2: Convert to fraction form
    335.04/461.96 = 310.16/x
  3. Step 3: Cross multiply
    335.04x = 461.96 × 310.16
  4. Step 4: Simplify right side
    335.04x = 143,281.51
  5. Step 5: Solve for x
    x = 143,281.51/335.04
  6. Step 6: Final answer
    x = 427.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.