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Finding the Fourth Proportional to 339.88, 507.35 and 294.40

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Solution

The fourth proportional to 339.88, 507.35 and 294.40 is: 439.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.88 : 507.35 = 294.40 : x
  2. Step 2: Convert to fraction form
    339.88/507.35 = 294.40/x
  3. Step 3: Cross multiply
    339.88x = 507.35 × 294.40
  4. Step 4: Simplify right side
    339.88x = 149,363.84
  5. Step 5: Solve for x
    x = 149,363.84/339.88
  6. Step 6: Final answer
    x = 439.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.