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Finding the Fourth Proportional to 608.04, 838.76 and 398.25

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Solution

The fourth proportional to 608.04, 838.76 and 398.25 is: 549.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.04 : 838.76 = 398.25 : x
  2. Step 2: Convert to fraction form
    608.04/838.76 = 398.25/x
  3. Step 3: Cross multiply
    608.04x = 838.76 × 398.25
  4. Step 4: Simplify right side
    608.04x = 334,034.18
  5. Step 5: Solve for x
    x = 334,034.18/608.04
  6. Step 6: Final answer
    x = 549.36

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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.