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Finding the Fourth Proportional to 405.84, 608.37 and 259.14

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Solution

The fourth proportional to 405.84, 608.37 and 259.14 is: 388.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.84 : 608.37 = 259.14 : x
  2. Step 2: Convert to fraction form
    405.84/608.37 = 259.14/x
  3. Step 3: Cross multiply
    405.84x = 608.37 × 259.14
  4. Step 4: Simplify right side
    405.84x = 157,654.31
  5. Step 5: Solve for x
    x = 157,654.31/405.84
  6. Step 6: Final answer
    x = 388.46

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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.