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Finding the Fourth Proportional to 589.94, 885.14 and 265.24

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Solution

The fourth proportional to 589.94, 885.14 and 265.24 is: 397.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.94 : 885.14 = 265.24 : x
  2. Step 2: Convert to fraction form
    589.94/885.14 = 265.24/x
  3. Step 3: Cross multiply
    589.94x = 885.14 × 265.24
  4. Step 4: Simplify right side
    589.94x = 234,774.53
  5. Step 5: Solve for x
    x = 234,774.53/589.94
  6. Step 6: Final answer
    x = 397.96

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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.