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Finding the Fourth Proportional to 405.50, 607.93 and 189.23

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Solution

The fourth proportional to 405.50, 607.93 and 189.23 is: 283.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.50 : 607.93 = 189.23 : x
  2. Step 2: Convert to fraction form
    405.50/607.93 = 189.23/x
  3. Step 3: Cross multiply
    405.50x = 607.93 × 189.23
  4. Step 4: Simplify right side
    405.50x = 115,038.59
  5. Step 5: Solve for x
    x = 115,038.59/405.50
  6. Step 6: Final answer
    x = 283.70

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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.