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Finding the Fourth Proportional to 406.54, 561.90 and 319.06

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Solution

The fourth proportional to 406.54, 561.90 and 319.06 is: 440.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.54 : 561.90 = 319.06 : x
  2. Step 2: Convert to fraction form
    406.54/561.90 = 319.06/x
  3. Step 3: Cross multiply
    406.54x = 561.90 × 319.06
  4. Step 4: Simplify right side
    406.54x = 179,279.81
  5. Step 5: Solve for x
    x = 179,279.81/406.54
  6. Step 6: Final answer
    x = 440.99

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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.