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Finding the Fourth Proportional to 339.84, 509.76 and 83.34

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Solution

The fourth proportional to 339.84, 509.76 and 83.34 is: 125.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.84 : 509.76 = 83.34 : x
  2. Step 2: Convert to fraction form
    339.84/509.76 = 83.34/x
  3. Step 3: Cross multiply
    339.84x = 509.76 × 83.34
  4. Step 4: Simplify right side
    339.84x = 42,483.40
  5. Step 5: Solve for x
    x = 42,483.40/339.84
  6. Step 6: Final answer
    x = 125.01

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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.