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Finding the Fourth Proportional to 405.31, 607.86 and 174.19

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Solution

The fourth proportional to 405.31, 607.86 and 174.19 is: 261.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.31 : 607.86 = 174.19 : x
  2. Step 2: Convert to fraction form
    405.31/607.86 = 174.19/x
  3. Step 3: Cross multiply
    405.31x = 607.86 × 174.19
  4. Step 4: Simplify right side
    405.31x = 105,883.13
  5. Step 5: Solve for x
    x = 105,883.13/405.31
  6. Step 6: Final answer
    x = 261.24

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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.