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Finding the Fourth Proportional to 631.56, 946.26 and 509.88

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Solution

The fourth proportional to 631.56, 946.26 and 509.88 is: 763.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.56 : 946.26 = 509.88 : x
  2. Step 2: Convert to fraction form
    631.56/946.26 = 509.88/x
  3. Step 3: Cross multiply
    631.56x = 946.26 × 509.88
  4. Step 4: Simplify right side
    631.56x = 482,479.05
  5. Step 5: Solve for x
    x = 482,479.05/631.56
  6. Step 6: Final answer
    x = 763.95

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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.