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Finding the Fourth Proportional to 405.96, 608.06 and 297.50

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Solution

The fourth proportional to 405.96, 608.06 and 297.50 is: 445.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.96 : 608.06 = 297.50 : x
  2. Step 2: Convert to fraction form
    405.96/608.06 = 297.50/x
  3. Step 3: Cross multiply
    405.96x = 608.06 × 297.50
  4. Step 4: Simplify right side
    405.96x = 180,897.85
  5. Step 5: Solve for x
    x = 180,897.85/405.96
  6. Step 6: Final answer
    x = 445.61

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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.