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Finding the Fourth Proportional to 467.05, 700.10 and 293.84

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Solution

The fourth proportional to 467.05, 700.10 and 293.84 is: 440.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.05 : 700.10 = 293.84 : x
  2. Step 2: Convert to fraction form
    467.05/700.10 = 293.84/x
  3. Step 3: Cross multiply
    467.05x = 700.10 × 293.84
  4. Step 4: Simplify right side
    467.05x = 205,719.76
  5. Step 5: Solve for x
    x = 205,719.76/467.05
  6. Step 6: Final answer
    x = 440.46

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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.