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Finding the Fourth Proportional to 589.16, 882.54 and 299.72

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Solution

The fourth proportional to 589.16, 882.54 and 299.72 is: 448.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.16 : 882.54 = 299.72 : x
  2. Step 2: Convert to fraction form
    589.16/882.54 = 299.72/x
  3. Step 3: Cross multiply
    589.16x = 882.54 × 299.72
  4. Step 4: Simplify right side
    589.16x = 264,514.89
  5. Step 5: Solve for x
    x = 264,514.89/589.16
  6. Step 6: Final answer
    x = 448.97

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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.