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Finding the Fourth Proportional to 589.79, 883.29 and 467.66

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Solution

The fourth proportional to 589.79, 883.29 and 467.66 is: 700.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.79 : 883.29 = 467.66 : x
  2. Step 2: Convert to fraction form
    589.79/883.29 = 467.66/x
  3. Step 3: Cross multiply
    589.79x = 883.29 × 467.66
  4. Step 4: Simplify right side
    589.79x = 413,079.40
  5. Step 5: Solve for x
    x = 413,079.40/589.79
  6. Step 6: Final answer
    x = 700.38

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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.