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Finding the Fourth Proportional to 569.78, 786.38 and 430.05

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Solution

The fourth proportional to 569.78, 786.38 and 430.05 is: 593.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.78 : 786.38 = 430.05 : x
  2. Step 2: Convert to fraction form
    569.78/786.38 = 430.05/x
  3. Step 3: Cross multiply
    569.78x = 786.38 × 430.05
  4. Step 4: Simplify right side
    569.78x = 338,182.99
  5. Step 5: Solve for x
    x = 338,182.99/569.78
  6. Step 6: Final answer
    x = 593.54

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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.