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Finding the Fourth Proportional to 341.52, 511.38 and 233.16

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Solution

The fourth proportional to 341.52, 511.38 and 233.16 is: 349.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.52 : 511.38 = 233.16 : x
  2. Step 2: Convert to fraction form
    341.52/511.38 = 233.16/x
  3. Step 3: Cross multiply
    341.52x = 511.38 × 233.16
  4. Step 4: Simplify right side
    341.52x = 119,233.36
  5. Step 5: Solve for x
    x = 119,233.36/341.52
  6. Step 6: Final answer
    x = 349.13

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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.