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Finding the Fourth Proportional to 589.20, 882.64 and 473.13

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Solution

The fourth proportional to 589.20, 882.64 and 473.13 is: 708.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.20 : 882.64 = 473.13 : x
  2. Step 2: Convert to fraction form
    589.20/882.64 = 473.13/x
  3. Step 3: Cross multiply
    589.20x = 882.64 × 473.13
  4. Step 4: Simplify right side
    589.20x = 417,603.46
  5. Step 5: Solve for x
    x = 417,603.46/589.20
  6. Step 6: Final answer
    x = 708.76

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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.