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Finding the Fourth Proportional to 335.40, 501.48 and 253.08

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Solution

The fourth proportional to 335.40, 501.48 and 253.08 is: 378.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.40 : 501.48 = 253.08 : x
  2. Step 2: Convert to fraction form
    335.40/501.48 = 253.08/x
  3. Step 3: Cross multiply
    335.40x = 501.48 × 253.08
  4. Step 4: Simplify right side
    335.40x = 126,914.56
  5. Step 5: Solve for x
    x = 126,914.56/335.40
  6. Step 6: Final answer
    x = 378.40

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Why These Related Problems?

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