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Finding the Fourth Proportional to 507.81, 700.47 and 445.59

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Solution

The fourth proportional to 507.81, 700.47 and 445.59 is: 614.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.81 : 700.47 = 445.59 : x
  2. Step 2: Convert to fraction form
    507.81/700.47 = 445.59/x
  3. Step 3: Cross multiply
    507.81x = 700.47 × 445.59
  4. Step 4: Simplify right side
    507.81x = 312,122.43
  5. Step 5: Solve for x
    x = 312,122.43/507.81
  6. Step 6: Final answer
    x = 614.64

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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.