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Finding the Fourth Proportional to 569.16, 784.89 and 382.86

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Solution

The fourth proportional to 569.16, 784.89 and 382.86 is: 527.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.16 : 784.89 = 382.86 : x
  2. Step 2: Convert to fraction form
    569.16/784.89 = 382.86/x
  3. Step 3: Cross multiply
    569.16x = 784.89 × 382.86
  4. Step 4: Simplify right side
    569.16x = 300,502.99
  5. Step 5: Solve for x
    x = 300,502.99/569.16
  6. Step 6: Final answer
    x = 527.98

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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.