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Finding the Fourth Proportional to 575.88, 863.82 and 510.72

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Solution

The fourth proportional to 575.88, 863.82 and 510.72 is: 766.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.88 : 863.82 = 510.72 : x
  2. Step 2: Convert to fraction form
    575.88/863.82 = 510.72/x
  3. Step 3: Cross multiply
    575.88x = 863.82 × 510.72
  4. Step 4: Simplify right side
    575.88x = 441,170.15
  5. Step 5: Solve for x
    x = 441,170.15/575.88
  6. Step 6: Final answer
    x = 766.08

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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.