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Finding the Fourth Proportional to 565.88, 849.63 and 556.16

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Solution

The fourth proportional to 565.88, 849.63 and 556.16 is: 835.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.88 : 849.63 = 556.16 : x
  2. Step 2: Convert to fraction form
    565.88/849.63 = 556.16/x
  3. Step 3: Cross multiply
    565.88x = 849.63 × 556.16
  4. Step 4: Simplify right side
    565.88x = 472,530.22
  5. Step 5: Solve for x
    x = 472,530.22/565.88
  6. Step 6: Final answer
    x = 835.04

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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.