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Finding the Fourth Proportional to 405.88, 609.63 and 396.16

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Solution

The fourth proportional to 405.88, 609.63 and 396.16 is: 595.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.88 : 609.63 = 396.16 : x
  2. Step 2: Convert to fraction form
    405.88/609.63 = 396.16/x
  3. Step 3: Cross multiply
    405.88x = 609.63 × 396.16
  4. Step 4: Simplify right side
    405.88x = 241,511.02
  5. Step 5: Solve for x
    x = 241,511.02/405.88
  6. Step 6: Final answer
    x = 595.03

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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.