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Finding the Fourth Proportional to 405.93, 609.30 and 261.75

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Solution

The fourth proportional to 405.93, 609.30 and 261.75 is: 392.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.93 : 609.30 = 261.75 : x
  2. Step 2: Convert to fraction form
    405.93/609.30 = 261.75/x
  3. Step 3: Cross multiply
    405.93x = 609.30 × 261.75
  4. Step 4: Simplify right side
    405.93x = 159,484.28
  5. Step 5: Solve for x
    x = 159,484.28/405.93
  6. Step 6: Final answer
    x = 392.89

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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.