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Finding the Fourth Proportional to 406.14, 560.01 and 322.32

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Solution

The fourth proportional to 406.14, 560.01 and 322.32 is: 444.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.14 : 560.01 = 322.32 : x
  2. Step 2: Convert to fraction form
    406.14/560.01 = 322.32/x
  3. Step 3: Cross multiply
    406.14x = 560.01 × 322.32
  4. Step 4: Simplify right side
    406.14x = 180,502.42
  5. Step 5: Solve for x
    x = 180,502.42/406.14
  6. Step 6: Final answer
    x = 444.43

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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.