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Finding the Fourth Proportional to 703.64, 1,055.41 and 241.40

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Solution

The fourth proportional to 703.64, 1,055.41 and 241.40 is: 362.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.64 : 1,055.41 = 241.40 : x
  2. Step 2: Convert to fraction form
    703.64/1,055.41 = 241.40/x
  3. Step 3: Cross multiply
    703.64x = 1,055.41 × 241.40
  4. Step 4: Simplify right side
    703.64x = 254,775.97
  5. Step 5: Solve for x
    x = 254,775.97/703.64
  6. Step 6: Final answer
    x = 362.08

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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.