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Finding the Fourth Proportional to 590.40, 884.16 and 333.44

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Solution

The fourth proportional to 590.40, 884.16 and 333.44 is: 499.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.40 : 884.16 = 333.44 : x
  2. Step 2: Convert to fraction form
    590.40/884.16 = 333.44/x
  3. Step 3: Cross multiply
    590.40x = 884.16 × 333.44
  4. Step 4: Simplify right side
    590.40x = 294,814.31
  5. Step 5: Solve for x
    x = 294,814.31/590.40
  6. Step 6: Final answer
    x = 499.35

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1.5x scale

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.