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Finding the Fourth Proportional to 518.94, 780.57 and 469.26

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Solution

The fourth proportional to 518.94, 780.57 and 469.26 is: 705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.94 : 780.57 = 469.26 : x
  2. Step 2: Convert to fraction form
    518.94/780.57 = 469.26/x
  3. Step 3: Cross multiply
    518.94x = 780.57 × 469.26
  4. Step 4: Simplify right side
    518.94x = 366,290.28
  5. Step 5: Solve for x
    x = 366,290.28/518.94
  6. Step 6: Final answer
    x = 705.84

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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.