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Finding the Fourth Proportional to 569.35, 852.68 and 569.35

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Solution

The fourth proportional to 569.35, 852.68 and 569.35 is: 852.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.35 : 852.68 = 569.35 : x
  2. Step 2: Convert to fraction form
    569.35/852.68 = 569.35/x
  3. Step 3: Cross multiply
    569.35x = 852.68 × 569.35
  4. Step 4: Simplify right side
    569.35x = 485,470.51
  5. Step 5: Solve for x
    x = 485,470.51/569.35
  6. Step 6: Final answer
    x = 852.68

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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.