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Finding the Fourth Proportional to 608.05, 839.75 and 478.01

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Solution

The fourth proportional to 608.05, 839.75 and 478.01 is: 660.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.05 : 839.75 = 478.01 : x
  2. Step 2: Convert to fraction form
    608.05/839.75 = 478.01/x
  3. Step 3: Cross multiply
    608.05x = 839.75 × 478.01
  4. Step 4: Simplify right side
    608.05x = 401,406.51
  5. Step 5: Solve for x
    x = 401,406.51/608.05
  6. Step 6: Final answer
    x = 660.15

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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.