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Finding the Fourth Proportional to 405.74, 609 and 310.16

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Solution

The fourth proportional to 405.74, 609 and 310.16 is: 465.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.74 : 609 = 310.16 : x
  2. Step 2: Convert to fraction form
    405.74/609 = 310.16/x
  3. Step 3: Cross multiply
    405.74x = 609 × 310.16
  4. Step 4: Simplify right side
    405.74x = 188,887.44
  5. Step 5: Solve for x
    x = 188,887.44/405.74
  6. Step 6: Final answer
    x = 465.54

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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.