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Finding the Fourth Proportional to 341.10, 471.29 and 303.93

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Solution

The fourth proportional to 341.10, 471.29 and 303.93 is: 419.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.10 : 471.29 = 303.93 : x
  2. Step 2: Convert to fraction form
    341.10/471.29 = 303.93/x
  3. Step 3: Cross multiply
    341.10x = 471.29 × 303.93
  4. Step 4: Simplify right side
    341.10x = 143,237.65
  5. Step 5: Solve for x
    x = 143,237.65/341.10
  6. Step 6: Final answer
    x = 419.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.