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Finding the Fourth Proportional to 569.16, 850.53 and 537.96

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Solution

The fourth proportional to 569.16, 850.53 and 537.96 is: 803.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.16 : 850.53 = 537.96 : x
  2. Step 2: Convert to fraction form
    569.16/850.53 = 537.96/x
  3. Step 3: Cross multiply
    569.16x = 850.53 × 537.96
  4. Step 4: Simplify right side
    569.16x = 457,551.12
  5. Step 5: Solve for x
    x = 457,551.12/569.16
  6. Step 6: Final answer
    x = 803.91

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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.