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Finding the Fourth Proportional to 438.64, 657.96 and 114.01

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Solution

The fourth proportional to 438.64, 657.96 and 114.01 is: 171.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.64 : 657.96 = 114.01 : x
  2. Step 2: Convert to fraction form
    438.64/657.96 = 114.01/x
  3. Step 3: Cross multiply
    438.64x = 657.96 × 114.01
  4. Step 4: Simplify right side
    438.64x = 75,014.02
  5. Step 5: Solve for x
    x = 75,014.02/438.64
  6. Step 6: Final answer
    x = 171.02

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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.