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Finding the Fourth Proportional to 566.56, 779.83 and 507.34

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Solution

The fourth proportional to 566.56, 779.83 and 507.34 is: 698.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.56 : 779.83 = 507.34 : x
  2. Step 2: Convert to fraction form
    566.56/779.83 = 507.34/x
  3. Step 3: Cross multiply
    566.56x = 779.83 × 507.34
  4. Step 4: Simplify right side
    566.56x = 395,638.95
  5. Step 5: Solve for x
    x = 395,638.95/566.56
  6. Step 6: Final answer
    x = 698.32

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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.