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Finding the Fourth Proportional to 335.04, 464.64 and 313.92

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Solution

The fourth proportional to 335.04, 464.64 and 313.92 is: 435.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.04 : 464.64 = 313.92 : x
  2. Step 2: Convert to fraction form
    335.04/464.64 = 313.92/x
  3. Step 3: Cross multiply
    335.04x = 464.64 × 313.92
  4. Step 4: Simplify right side
    335.04x = 145,859.79
  5. Step 5: Solve for x
    x = 145,859.79/335.04
  6. Step 6: Final answer
    x = 435.35

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Why These Related Problems?

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