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Finding the Fourth Proportional to 589.95, 885.15 and 265.24

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Solution

The fourth proportional to 589.95, 885.15 and 265.24 is: 397.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.95 : 885.15 = 265.24 : x
  2. Step 2: Convert to fraction form
    589.95/885.15 = 265.24/x
  3. Step 3: Cross multiply
    589.95x = 885.15 × 265.24
  4. Step 4: Simplify right side
    589.95x = 234,777.19
  5. Step 5: Solve for x
    x = 234,777.19/589.95
  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.