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Finding the Fourth Proportional to 589.08, 883.64 and 467.60

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Solution

The fourth proportional to 589.08, 883.64 and 467.60 is: 701.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.08 : 883.64 = 467.60 : x
  2. Step 2: Convert to fraction form
    589.08/883.64 = 467.60/x
  3. Step 3: Cross multiply
    589.08x = 883.64 × 467.60
  4. Step 4: Simplify right side
    589.08x = 413,190.06
  5. Step 5: Solve for x
    x = 413,190.06/589.08
  6. Step 6: Final answer
    x = 701.42

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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.