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Finding the Fourth Proportional to 575.94, 867.80 and 475.48

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Solution

The fourth proportional to 575.94, 867.80 and 475.48 is: 716.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.94 : 867.80 = 475.48 : x
  2. Step 2: Convert to fraction form
    575.94/867.80 = 475.48/x
  3. Step 3: Cross multiply
    575.94x = 867.80 × 475.48
  4. Step 4: Simplify right side
    575.94x = 412,617.00
  5. Step 5: Solve for x
    x = 412,617.00/575.94
  6. Step 6: Final answer
    x = 716.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.