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Finding the Fourth Proportional to 346.05, 478.13 and 272.93

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Solution

The fourth proportional to 346.05, 478.13 and 272.93 is: 377.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.05 : 478.13 = 272.93 : x
  2. Step 2: Convert to fraction form
    346.05/478.13 = 272.93/x
  3. Step 3: Cross multiply
    346.05x = 478.13 × 272.93
  4. Step 4: Simplify right side
    346.05x = 130,492.27
  5. Step 5: Solve for x
    x = 130,492.27/346.05
  6. Step 6: Final answer
    x = 377.09

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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.