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Finding the Fourth Proportional to 569.72, 784.95 and 475.94

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Solution

The fourth proportional to 569.72, 784.95 and 475.94 is: 655.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.72 : 784.95 = 475.94 : x
  2. Step 2: Convert to fraction form
    569.72/784.95 = 475.94/x
  3. Step 3: Cross multiply
    569.72x = 784.95 × 475.94
  4. Step 4: Simplify right side
    569.72x = 373,589.10
  5. Step 5: Solve for x
    x = 373,589.10/569.72
  6. Step 6: Final answer
    x = 655.74

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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.