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Finding the Fourth Proportional to 569.45, 780.74 and 558.51

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Solution

The fourth proportional to 569.45, 780.74 and 558.51 is: 765.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.45 : 780.74 = 558.51 : x
  2. Step 2: Convert to fraction form
    569.45/780.74 = 558.51/x
  3. Step 3: Cross multiply
    569.45x = 780.74 × 558.51
  4. Step 4: Simplify right side
    569.45x = 436,048.30
  5. Step 5: Solve for x
    x = 436,048.30/569.45
  6. Step 6: Final answer
    x = 765.74

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.