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Finding the Fourth Proportional to 438.19, 656.87 and 194.58

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Solution

The fourth proportional to 438.19, 656.87 and 194.58 is: 291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.19 : 656.87 = 194.58 : x
  2. Step 2: Convert to fraction form
    438.19/656.87 = 194.58/x
  3. Step 3: Cross multiply
    438.19x = 656.87 × 194.58
  4. Step 4: Simplify right side
    438.19x = 127,809.51
  5. Step 5: Solve for x
    x = 127,809.51/438.19
  6. Step 6: Final answer
    x = 291.68

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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.