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Finding the Fourth Proportional to 510.86, 704.58 and 355.34

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Solution

The fourth proportional to 510.86, 704.58 and 355.34 is: 490.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.86 : 704.58 = 355.34 : x
  2. Step 2: Convert to fraction form
    510.86/704.58 = 355.34/x
  3. Step 3: Cross multiply
    510.86x = 704.58 × 355.34
  4. Step 4: Simplify right side
    510.86x = 250,365.46
  5. Step 5: Solve for x
    x = 250,365.46/510.86
  6. Step 6: Final answer
    x = 490.09

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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.