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Finding the Fourth Proportional to 575.55, 863.92 and 510.09

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Solution

The fourth proportional to 575.55, 863.92 and 510.09 is: 765.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.55 : 863.92 = 510.09 : x
  2. Step 2: Convert to fraction form
    575.55/863.92 = 510.09/x
  3. Step 3: Cross multiply
    575.55x = 863.92 × 510.09
  4. Step 4: Simplify right side
    575.55x = 440,674.86
  5. Step 5: Solve for x
    x = 440,674.86/575.55
  6. Step 6: Final answer
    x = 765.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.