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Finding the Fourth Proportional to 513.02, 707.29 and 408.47

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Solution

The fourth proportional to 513.02, 707.29 and 408.47 is: 563.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.02 : 707.29 = 408.47 : x
  2. Step 2: Convert to fraction form
    513.02/707.29 = 408.47/x
  3. Step 3: Cross multiply
    513.02x = 707.29 × 408.47
  4. Step 4: Simplify right side
    513.02x = 288,902.19
  5. Step 5: Solve for x
    x = 288,902.19/513.02
  6. Step 6: Final answer
    x = 563.14

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Why These Related Problems?

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