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Finding the Fourth Proportional to 346.41, 478.14 and 204.74

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Solution

The fourth proportional to 346.41, 478.14 and 204.74 is: 282.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.41 : 478.14 = 204.74 : x
  2. Step 2: Convert to fraction form
    346.41/478.14 = 204.74/x
  3. Step 3: Cross multiply
    346.41x = 478.14 × 204.74
  4. Step 4: Simplify right side
    346.41x = 97,893.36
  5. Step 5: Solve for x
    x = 97,893.36/346.41
  6. Step 6: Final answer
    x = 282.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.