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Finding the Fourth Proportional to 509.99, 763.62 and 419.09

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Solution

The fourth proportional to 509.99, 763.62 and 419.09 is: 627.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.99 : 763.62 = 419.09 : x
  2. Step 2: Convert to fraction form
    509.99/763.62 = 419.09/x
  3. Step 3: Cross multiply
    509.99x = 763.62 × 419.09
  4. Step 4: Simplify right side
    509.99x = 320,024.41
  5. Step 5: Solve for x
    x = 320,024.41/509.99
  6. Step 6: Final answer
    x = 627.51

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1.5x scale

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.