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Finding the Fourth Proportional to 608.72, 840.20 and 360.08

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Solution

The fourth proportional to 608.72, 840.20 and 360.08 is: 497.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.72 : 840.20 = 360.08 : x
  2. Step 2: Convert to fraction form
    608.72/840.20 = 360.08/x
  3. Step 3: Cross multiply
    608.72x = 840.20 × 360.08
  4. Step 4: Simplify right side
    608.72x = 302,539.22
  5. Step 5: Solve for x
    x = 302,539.22/608.72
  6. Step 6: Final answer
    x = 497.01

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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.