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Finding the Fourth Proportional to 575.25, 862.98 and 523.08

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Solution

The fourth proportional to 575.25, 862.98 and 523.08 is: 784.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.25 : 862.98 = 523.08 : x
  2. Step 2: Convert to fraction form
    575.25/862.98 = 523.08/x
  3. Step 3: Cross multiply
    575.25x = 862.98 × 523.08
  4. Step 4: Simplify right side
    575.25x = 451,409.74
  5. Step 5: Solve for x
    x = 451,409.74/575.25
  6. Step 6: Final answer
    x = 784.72

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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.