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Finding the Fourth Proportional to 405.84, 608.94 and 174.78

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Solution

The fourth proportional to 405.84, 608.94 and 174.78 is: 262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.84 : 608.94 = 174.78 : x
  2. Step 2: Convert to fraction form
    405.84/608.94 = 174.78/x
  3. Step 3: Cross multiply
    405.84x = 608.94 × 174.78
  4. Step 4: Simplify right side
    405.84x = 106,430.53
  5. Step 5: Solve for x
    x = 106,430.53/405.84
  6. Step 6: Final answer
    x = 262.25

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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.