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Finding the Fourth Proportional to 641.10, 957.28 and 509.62

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Solution

The fourth proportional to 641.10, 957.28 and 509.62 is: 760.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.10 : 957.28 = 509.62 : x
  2. Step 2: Convert to fraction form
    641.10/957.28 = 509.62/x
  3. Step 3: Cross multiply
    641.10x = 957.28 × 509.62
  4. Step 4: Simplify right side
    641.10x = 487,849.03
  5. Step 5: Solve for x
    x = 487,849.03/641.10
  6. Step 6: Final answer
    x = 760.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.