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Finding the Fourth Proportional to 569.40, 786.12 and 370.42

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Solution

The fourth proportional to 569.40, 786.12 and 370.42 is: 511.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.40 : 786.12 = 370.42 : x
  2. Step 2: Convert to fraction form
    569.40/786.12 = 370.42/x
  3. Step 3: Cross multiply
    569.40x = 786.12 × 370.42
  4. Step 4: Simplify right side
    569.40x = 291,194.57
  5. Step 5: Solve for x
    x = 291,194.57/569.40
  6. Step 6: Final answer
    x = 511.41

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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.