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Finding the Fourth Proportional to 612.36, 917.94 and 468.68

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Solution

The fourth proportional to 612.36, 917.94 and 468.68 is: 702.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.36 : 917.94 = 468.68 : x
  2. Step 2: Convert to fraction form
    612.36/917.94 = 468.68/x
  3. Step 3: Cross multiply
    612.36x = 917.94 × 468.68
  4. Step 4: Simplify right side
    612.36x = 430,220.12
  5. Step 5: Solve for x
    x = 430,220.12/612.36
  6. Step 6: Final answer
    x = 702.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.