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Finding the Fourth Proportional to 512.09, 707.03 and 315.87

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Solution

The fourth proportional to 512.09, 707.03 and 315.87 is: 436.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.09 : 707.03 = 315.87 : x
  2. Step 2: Convert to fraction form
    512.09/707.03 = 315.87/x
  3. Step 3: Cross multiply
    512.09x = 707.03 × 315.87
  4. Step 4: Simplify right side
    512.09x = 223,327.99
  5. Step 5: Solve for x
    x = 223,327.99/512.09
  6. Step 6: Final answer
    x = 436.12

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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.