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Finding the Fourth Proportional to 589.80, 882.72 and 424.80

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Solution

The fourth proportional to 589.80, 882.72 and 424.80 is: 635.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.80 : 882.72 = 424.80 : x
  2. Step 2: Convert to fraction form
    589.80/882.72 = 424.80/x
  3. Step 3: Cross multiply
    589.80x = 882.72 × 424.80
  4. Step 4: Simplify right side
    589.80x = 374,979.46
  5. Step 5: Solve for x
    x = 374,979.46/589.80
  6. Step 6: Final answer
    x = 635.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.