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Finding the Fourth Proportional to 590.45, 884.95 and 277.67

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Solution

The fourth proportional to 590.45, 884.95 and 277.67 is: 416.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.45 : 884.95 = 277.67 : x
  2. Step 2: Convert to fraction form
    590.45/884.95 = 277.67/x
  3. Step 3: Cross multiply
    590.45x = 884.95 × 277.67
  4. Step 4: Simplify right side
    590.45x = 245,725.58
  5. Step 5: Solve for x
    x = 245,725.58/590.45
  6. Step 6: Final answer
    x = 416.17

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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.