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Finding the Fourth Proportional to 341.19, 509.76 and 301.05

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Solution

The fourth proportional to 341.19, 509.76 and 301.05 is: 449.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.19 : 509.76 = 301.05 : x
  2. Step 2: Convert to fraction form
    341.19/509.76 = 301.05/x
  3. Step 3: Cross multiply
    341.19x = 509.76 × 301.05
  4. Step 4: Simplify right side
    341.19x = 153,463.25
  5. Step 5: Solve for x
    x = 153,463.25/341.19
  6. Step 6: Final answer
    x = 449.79

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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.