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Finding the Fourth Proportional to 589.35, 882.70 and 458.33

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Solution

The fourth proportional to 589.35, 882.70 and 458.33 is: 686.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.35 : 882.70 = 458.33 : x
  2. Step 2: Convert to fraction form
    589.35/882.70 = 458.33/x
  3. Step 3: Cross multiply
    589.35x = 882.70 × 458.33
  4. Step 4: Simplify right side
    589.35x = 404,567.89
  5. Step 5: Solve for x
    x = 404,567.89/589.35
  6. Step 6: Final answer
    x = 686.46

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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.