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Finding the Fourth Proportional to 339.66, 508.07 and 288.23

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Solution

The fourth proportional to 339.66, 508.07 and 288.23 is: 431.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.66 : 508.07 = 288.23 : x
  2. Step 2: Convert to fraction form
    339.66/508.07 = 288.23/x
  3. Step 3: Cross multiply
    339.66x = 508.07 × 288.23
  4. Step 4: Simplify right side
    339.66x = 146,439.20
  5. Step 5: Solve for x
    x = 146,439.20/339.66
  6. Step 6: Final answer
    x = 431.13

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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.