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Finding the Fourth Proportional to 608.47, 839.69 and 346.49

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Solution

The fourth proportional to 608.47, 839.69 and 346.49 is: 478.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.47 : 839.69 = 346.49 : x
  2. Step 2: Convert to fraction form
    608.47/839.69 = 346.49/x
  3. Step 3: Cross multiply
    608.47x = 839.69 × 346.49
  4. Step 4: Simplify right side
    608.47x = 290,944.19
  5. Step 5: Solve for x
    x = 290,944.19/608.47
  6. Step 6: Final answer
    x = 478.16

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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.