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Finding the Fourth Proportional to 467.52, 700.16 and 284.51

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Solution

The fourth proportional to 467.52, 700.16 and 284.51 is: 426.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.52 : 700.16 = 284.51 : x
  2. Step 2: Convert to fraction form
    467.52/700.16 = 284.51/x
  3. Step 3: Cross multiply
    467.52x = 700.16 × 284.51
  4. Step 4: Simplify right side
    467.52x = 199,197.60
  5. Step 5: Solve for x
    x = 199,197.60/467.52
  6. Step 6: Final answer
    x = 426.07

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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.