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Finding the Fourth Proportional to 509.58, 762.84 and 422.10

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Solution

The fourth proportional to 509.58, 762.84 and 422.10 is: 631.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.58 : 762.84 = 422.10 : x
  2. Step 2: Convert to fraction form
    509.58/762.84 = 422.10/x
  3. Step 3: Cross multiply
    509.58x = 762.84 × 422.10
  4. Step 4: Simplify right side
    509.58x = 321,994.76
  5. Step 5: Solve for x
    x = 321,994.76/509.58
  6. Step 6: Final answer
    x = 631.88

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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.