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Finding the Fourth Proportional to 341.51, 511.86 and 301.01

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Solution

The fourth proportional to 341.51, 511.86 and 301.01 is: 451.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.51 : 511.86 = 301.01 : x
  2. Step 2: Convert to fraction form
    341.51/511.86 = 301.01/x
  3. Step 3: Cross multiply
    341.51x = 511.86 × 301.01
  4. Step 4: Simplify right side
    341.51x = 154,074.98
  5. Step 5: Solve for x
    x = 154,074.98/341.51
  6. Step 6: Final answer
    x = 451.16

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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.