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Finding the Fourth Proportional to 589.40, 882.92 and 357.62

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Solution

The fourth proportional to 589.40, 882.92 and 357.62 is: 535.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.40 : 882.92 = 357.62 : x
  2. Step 2: Convert to fraction form
    589.40/882.92 = 357.62/x
  3. Step 3: Cross multiply
    589.40x = 882.92 × 357.62
  4. Step 4: Simplify right side
    589.40x = 315,749.85
  5. Step 5: Solve for x
    x = 315,749.85/589.40
  6. Step 6: Final answer
    x = 535.71

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1.5x scale

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.