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Finding the Fourth Proportional to 346.44, 478.62 and 322.14

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Solution

The fourth proportional to 346.44, 478.62 and 322.14 is: 445.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.44 : 478.62 = 322.14 : x
  2. Step 2: Convert to fraction form
    346.44/478.62 = 322.14/x
  3. Step 3: Cross multiply
    346.44x = 478.62 × 322.14
  4. Step 4: Simplify right side
    346.44x = 154,182.65
  5. Step 5: Solve for x
    x = 154,182.65/346.44
  6. Step 6: Final answer
    x = 445.05

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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.