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Finding the Fourth Proportional to 346.38, 478.08 and 288.06

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Solution

The fourth proportional to 346.38, 478.08 and 288.06 is: 397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.38 : 478.08 = 288.06 : x
  2. Step 2: Convert to fraction form
    346.38/478.08 = 288.06/x
  3. Step 3: Cross multiply
    346.38x = 478.08 × 288.06
  4. Step 4: Simplify right side
    346.38x = 137,715.72
  5. Step 5: Solve for x
    x = 137,715.72/346.38
  6. Step 6: Final answer
    x = 397.59

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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.