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Finding the Fourth Proportional to 438.06, 657.35 and 194.59

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Solution

The fourth proportional to 438.06, 657.35 and 194.59 is: 292.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.06 : 657.35 = 194.59 : x
  2. Step 2: Convert to fraction form
    438.06/657.35 = 194.59/x
  3. Step 3: Cross multiply
    438.06x = 657.35 × 194.59
  4. Step 4: Simplify right side
    438.06x = 127,913.74
  5. Step 5: Solve for x
    x = 127,913.74/438.06
  6. Step 6: Final answer
    x = 292.00

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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.