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Finding the Fourth Proportional to 341.34, 510.86 and 293.82

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Solution

The fourth proportional to 341.34, 510.86 and 293.82 is: 439.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.34 : 510.86 = 293.82 : x
  2. Step 2: Convert to fraction form
    341.34/510.86 = 293.82/x
  3. Step 3: Cross multiply
    341.34x = 510.86 × 293.82
  4. Step 4: Simplify right side
    341.34x = 150,100.89
  5. Step 5: Solve for x
    x = 150,100.89/341.34
  6. Step 6: Final answer
    x = 439.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.