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Finding the Fourth Proportional to 405.29, 607.93 and 188.84

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Solution

The fourth proportional to 405.29, 607.93 and 188.84 is: 283.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.29 : 607.93 = 188.84 : x
  2. Step 2: Convert to fraction form
    405.29/607.93 = 188.84/x
  3. Step 3: Cross multiply
    405.29x = 607.93 × 188.84
  4. Step 4: Simplify right side
    405.29x = 114,801.50
  5. Step 5: Solve for x
    x = 114,801.50/405.29
  6. Step 6: Final answer
    x = 283.26

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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.