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Finding the Fourth Proportional to 309.02, 462.65 and 235.81

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Solution

The fourth proportional to 309.02, 462.65 and 235.81 is: 353.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.02 : 462.65 = 235.81 : x
  2. Step 2: Convert to fraction form
    309.02/462.65 = 235.81/x
  3. Step 3: Cross multiply
    309.02x = 462.65 × 235.81
  4. Step 4: Simplify right side
    309.02x = 109,097.50
  5. Step 5: Solve for x
    x = 109,097.50/309.02
  6. Step 6: Final answer
    x = 353.04

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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.