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Finding the Fourth Proportional to 703.24, 1,054.80 and 216.40

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Solution

The fourth proportional to 703.24, 1,054.80 and 216.40 is: 324.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.24 : 1,054.80 = 216.40 : x
  2. Step 2: Convert to fraction form
    703.24/1,054.80 = 216.40/x
  3. Step 3: Cross multiply
    703.24x = 1,054.80 × 216.40
  4. Step 4: Simplify right side
    703.24x = 228,258.72
  5. Step 5: Solve for x
    x = 228,258.72/703.24
  6. Step 6: Final answer
    x = 324.58

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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.