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Finding the Fourth Proportional to 594.48, 889.68 and 412.08

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Solution

The fourth proportional to 594.48, 889.68 and 412.08 is: 616.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.48 : 889.68 = 412.08 : x
  2. Step 2: Convert to fraction form
    594.48/889.68 = 412.08/x
  3. Step 3: Cross multiply
    594.48x = 889.68 × 412.08
  4. Step 4: Simplify right side
    594.48x = 366,619.33
  5. Step 5: Solve for x
    x = 366,619.33/594.48
  6. Step 6: Final answer
    x = 616.71

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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.