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Finding the Fourth Proportional to 335.04, 462.78 and 302.28

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Solution

The fourth proportional to 335.04, 462.78 and 302.28 is: 417.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.04 : 462.78 = 302.28 : x
  2. Step 2: Convert to fraction form
    335.04/462.78 = 302.28/x
  3. Step 3: Cross multiply
    335.04x = 462.78 × 302.28
  4. Step 4: Simplify right side
    335.04x = 139,889.14
  5. Step 5: Solve for x
    x = 139,889.14/335.04
  6. Step 6: Final answer
    x = 417.53

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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.