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Finding the Fourth Proportional to 569.85, 855.27 and 310.07

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Solution

The fourth proportional to 569.85, 855.27 and 310.07 is: 465.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.85 : 855.27 = 310.07 : x
  2. Step 2: Convert to fraction form
    569.85/855.27 = 310.07/x
  3. Step 3: Cross multiply
    569.85x = 855.27 × 310.07
  4. Step 4: Simplify right side
    569.85x = 265,189.29
  5. Step 5: Solve for x
    x = 265,189.29/569.85
  6. Step 6: Final answer
    x = 465.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.