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Finding the Fourth Proportional to 341.42, 467.10 and 340.07

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Solution

The fourth proportional to 341.42, 467.10 and 340.07 is: 465.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.42 : 467.10 = 340.07 : x
  2. Step 2: Convert to fraction form
    341.42/467.10 = 340.07/x
  3. Step 3: Cross multiply
    341.42x = 467.10 × 340.07
  4. Step 4: Simplify right side
    341.42x = 158,844.36
  5. Step 5: Solve for x
    x = 158,844.36/341.42
  6. Step 6: Final answer
    x = 465.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.