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Finding the Fourth Proportional to 509.58, 701.60 and 449.69

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Solution

The fourth proportional to 509.58, 701.60 and 449.69 is: 619.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.58 : 701.60 = 449.69 : x
  2. Step 2: Convert to fraction form
    509.58/701.60 = 449.69/x
  3. Step 3: Cross multiply
    509.58x = 701.60 × 449.69
  4. Step 4: Simplify right side
    509.58x = 315,496.75
  5. Step 5: Solve for x
    x = 315,496.75/509.58
  6. Step 6: Final answer
    x = 619.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.