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Finding the Fourth Proportional to 608.16, 839.25 and 346.14

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Solution

The fourth proportional to 608.16, 839.25 and 346.14 is: 477.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.16 : 839.25 = 346.14 : x
  2. Step 2: Convert to fraction form
    608.16/839.25 = 346.14/x
  3. Step 3: Cross multiply
    608.16x = 839.25 × 346.14
  4. Step 4: Simplify right side
    608.16x = 290,498.00
  5. Step 5: Solve for x
    x = 290,498.00/608.16
  6. Step 6: Final answer
    x = 477.67

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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.