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Finding the Fourth Proportional to 513.29, 708.03 and 373.22

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Solution

The fourth proportional to 513.29, 708.03 and 373.22 is: 514.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.29 : 708.03 = 373.22 : x
  2. Step 2: Convert to fraction form
    513.29/708.03 = 373.22/x
  3. Step 3: Cross multiply
    513.29x = 708.03 × 373.22
  4. Step 4: Simplify right side
    513.29x = 264,247.42
  5. Step 5: Solve for x
    x = 264,247.42/513.29
  6. Step 6: Final answer
    x = 514.82

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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.