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Finding the Fourth Proportional to 589.68, 884.08 and 277.16

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Solution

The fourth proportional to 589.68, 884.08 and 277.16 is: 415.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.68 : 884.08 = 277.16 : x
  2. Step 2: Convert to fraction form
    589.68/884.08 = 277.16/x
  3. Step 3: Cross multiply
    589.68x = 884.08 × 277.16
  4. Step 4: Simplify right side
    589.68x = 245,031.61
  5. Step 5: Solve for x
    x = 245,031.61/589.68
  6. Step 6: Final answer
    x = 415.53

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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.