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Finding the Fourth Proportional to 608.97, 840.48 and 360.42

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Solution

The fourth proportional to 608.97, 840.48 and 360.42 is: 497.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.97 : 840.48 = 360.42 : x
  2. Step 2: Convert to fraction form
    608.97/840.48 = 360.42/x
  3. Step 3: Cross multiply
    608.97x = 840.48 × 360.42
  4. Step 4: Simplify right side
    608.97x = 302,927.90
  5. Step 5: Solve for x
    x = 302,927.90/608.97
  6. Step 6: Final answer
    x = 497.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.