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Finding the Fourth Proportional to 589.60, 882.47 and 406.44

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Solution

The fourth proportional to 589.60, 882.47 and 406.44 is: 608.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.60 : 882.47 = 406.44 : x
  2. Step 2: Convert to fraction form
    589.60/882.47 = 406.44/x
  3. Step 3: Cross multiply
    589.60x = 882.47 × 406.44
  4. Step 4: Simplify right side
    589.60x = 358,671.11
  5. Step 5: Solve for x
    x = 358,671.11/589.60
  6. Step 6: Final answer
    x = 608.33

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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.