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Finding the Fourth Proportional to 393.16, 590.54 and 332.40

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Solution

The fourth proportional to 393.16, 590.54 and 332.40 is: 499.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.16 : 590.54 = 332.40 : x
  2. Step 2: Convert to fraction form
    393.16/590.54 = 332.40/x
  3. Step 3: Cross multiply
    393.16x = 590.54 × 332.40
  4. Step 4: Simplify right side
    393.16x = 196,295.50
  5. Step 5: Solve for x
    x = 196,295.50/393.16
  6. Step 6: Final answer
    x = 499.28

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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.