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Finding the Fourth Proportional to 405.76, 609.28 and 378.24

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Solution

The fourth proportional to 405.76, 609.28 and 378.24 is: 567.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.76 : 609.28 = 378.24 : x
  2. Step 2: Convert to fraction form
    405.76/609.28 = 378.24/x
  3. Step 3: Cross multiply
    405.76x = 609.28 × 378.24
  4. Step 4: Simplify right side
    405.76x = 230,454.07
  5. Step 5: Solve for x
    x = 230,454.07/405.76
  6. Step 6: Final answer
    x = 567.96

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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.