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Finding the Fourth Proportional to 341.49, 509.00 and 330.24

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Solution

The fourth proportional to 341.49, 509.00 and 330.24 is: 492.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.49 : 509.00 = 330.24 : x
  2. Step 2: Convert to fraction form
    341.49/509.00 = 330.24/x
  3. Step 3: Cross multiply
    341.49x = 509.00 × 330.24
  4. Step 4: Simplify right side
    341.49x = 168,093.66
  5. Step 5: Solve for x
    x = 168,093.66/341.49
  6. Step 6: Final answer
    x = 492.23

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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.