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Finding the Fourth Proportional to 392.58, 590.04 and 339.12

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Solution

The fourth proportional to 392.58, 590.04 and 339.12 is: 509.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.58 : 590.04 = 339.12 : x
  2. Step 2: Convert to fraction form
    392.58/590.04 = 339.12/x
  3. Step 3: Cross multiply
    392.58x = 590.04 × 339.12
  4. Step 4: Simplify right side
    392.58x = 200,094.36
  5. Step 5: Solve for x
    x = 200,094.36/392.58
  6. Step 6: Final answer
    x = 509.69

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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.