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Finding the Fourth Proportional to 608.93, 840.09 and 346.80

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Solution

The fourth proportional to 608.93, 840.09 and 346.80 is: 478.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.93 : 840.09 = 346.80 : x
  2. Step 2: Convert to fraction form
    608.93/840.09 = 346.80/x
  3. Step 3: Cross multiply
    608.93x = 840.09 × 346.80
  4. Step 4: Simplify right side
    608.93x = 291,343.21
  5. Step 5: Solve for x
    x = 291,343.21/608.93
  6. Step 6: Final answer
    x = 478.45

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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.