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Finding the Fourth Proportional to 703.34, 1,055.05 and 270.50

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Solution

The fourth proportional to 703.34, 1,055.05 and 270.50 is: 405.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.34 : 1,055.05 = 270.50 : x
  2. Step 2: Convert to fraction form
    703.34/1,055.05 = 270.50/x
  3. Step 3: Cross multiply
    703.34x = 1,055.05 × 270.50
  4. Step 4: Simplify right side
    703.34x = 285,386.60
  5. Step 5: Solve for x
    x = 285,386.60/703.34
  6. Step 6: Final answer
    x = 405.76

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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.