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Finding the Fourth Proportional to 569.48, 786.23 and 412.63

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Solution

The fourth proportional to 569.48, 786.23 and 412.63 is: 569.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.48 : 786.23 = 412.63 : x
  2. Step 2: Convert to fraction form
    569.48/786.23 = 412.63/x
  3. Step 3: Cross multiply
    569.48x = 786.23 × 412.63
  4. Step 4: Simplify right side
    569.48x = 324,421.92
  5. Step 5: Solve for x
    x = 324,421.92/569.48
  6. Step 6: Final answer
    x = 569.69

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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.