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Finding the Fourth Proportional to 608.78, 840.18 and 346.82

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Solution

The fourth proportional to 608.78, 840.18 and 346.82 is: 478.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.78 : 840.18 = 346.82 : x
  2. Step 2: Convert to fraction form
    608.78/840.18 = 346.82/x
  3. Step 3: Cross multiply
    608.78x = 840.18 × 346.82
  4. Step 4: Simplify right side
    608.78x = 291,391.23
  5. Step 5: Solve for x
    x = 291,391.23/608.78
  6. Step 6: Final answer
    x = 478.65

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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.