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Finding the Fourth Proportional to 339.04, 507.84 and 208.96

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Solution

The fourth proportional to 339.04, 507.84 and 208.96 is: 313.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.04 : 507.84 = 208.96 : x
  2. Step 2: Convert to fraction form
    339.04/507.84 = 208.96/x
  3. Step 3: Cross multiply
    339.04x = 507.84 × 208.96
  4. Step 4: Simplify right side
    339.04x = 106,118.25
  5. Step 5: Solve for x
    x = 106,118.25/339.04
  6. Step 6: Final answer
    x = 313.00

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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.