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Finding the Fourth Proportional to 569.67, 850.23 and 532.77

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Solution

The fourth proportional to 569.67, 850.23 and 532.77 is: 795.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.67 : 850.23 = 532.77 : x
  2. Step 2: Convert to fraction form
    569.67/850.23 = 532.77/x
  3. Step 3: Cross multiply
    569.67x = 850.23 × 532.77
  4. Step 4: Simplify right side
    569.67x = 452,977.04
  5. Step 5: Solve for x
    x = 452,977.04/569.67
  6. Step 6: Final answer
    x = 795.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.