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Finding the Fourth Proportional to 608.45, 840.15 and 577.87

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Solution

The fourth proportional to 608.45, 840.15 and 577.87 is: 797.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.45 : 840.15 = 577.87 : x
  2. Step 2: Convert to fraction form
    608.45/840.15 = 577.87/x
  3. Step 3: Cross multiply
    608.45x = 840.15 × 577.87
  4. Step 4: Simplify right side
    608.45x = 485,495.71
  5. Step 5: Solve for x
    x = 485,495.71/608.45
  6. Step 6: Final answer
    x = 797.93

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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.