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Finding the Fourth Proportional to 342.88, 511.88 and 328.48

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Solution

The fourth proportional to 342.88, 511.88 and 328.48 is: 490.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.88 : 511.88 = 328.48 : x
  2. Step 2: Convert to fraction form
    342.88/511.88 = 328.48/x
  3. Step 3: Cross multiply
    342.88x = 511.88 × 328.48
  4. Step 4: Simplify right side
    342.88x = 168,142.34
  5. Step 5: Solve for x
    x = 168,142.34/342.88
  6. Step 6: Final answer
    x = 490.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.