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Finding the Fourth Proportional to 590.14, 884.66 and 281.84

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Solution

The fourth proportional to 590.14, 884.66 and 281.84 is: 422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.14 : 884.66 = 281.84 : x
  2. Step 2: Convert to fraction form
    590.14/884.66 = 281.84/x
  3. Step 3: Cross multiply
    590.14x = 884.66 × 281.84
  4. Step 4: Simplify right side
    590.14x = 249,332.57
  5. Step 5: Solve for x
    x = 249,332.57/590.14
  6. Step 6: Final answer
    x = 422.50

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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.