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Finding the Fourth Proportional to 575.30, 866.06 and 524.27

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Solution

The fourth proportional to 575.30, 866.06 and 524.27 is: 789.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.30 : 866.06 = 524.27 : x
  2. Step 2: Convert to fraction form
    575.30/866.06 = 524.27/x
  3. Step 3: Cross multiply
    575.30x = 866.06 × 524.27
  4. Step 4: Simplify right side
    575.30x = 454,042.32
  5. Step 5: Solve for x
    x = 454,042.32/575.30
  6. Step 6: Final answer
    x = 789.23

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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.