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Finding the Fourth Proportional to 405.92, 608.96 and 370.24

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Solution

The fourth proportional to 405.92, 608.96 and 370.24 is: 555.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.92 : 608.96 = 370.24 : x
  2. Step 2: Convert to fraction form
    405.92/608.96 = 370.24/x
  3. Step 3: Cross multiply
    405.92x = 608.96 × 370.24
  4. Step 4: Simplify right side
    405.92x = 225,461.35
  5. Step 5: Solve for x
    x = 225,461.35/405.92
  6. Step 6: Final answer
    x = 555.43

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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.