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Finding the Fourth Proportional to 513.18, 707.94 and 402.66

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Solution

The fourth proportional to 513.18, 707.94 and 402.66 is: 555.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.18 : 707.94 = 402.66 : x
  2. Step 2: Convert to fraction form
    513.18/707.94 = 402.66/x
  3. Step 3: Cross multiply
    513.18x = 707.94 × 402.66
  4. Step 4: Simplify right side
    513.18x = 285,059.12
  5. Step 5: Solve for x
    x = 285,059.12/513.18
  6. Step 6: Final answer
    x = 555.48

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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.