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Finding the Fourth Proportional to 510.67, 704.75 and 314.07

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Solution

The fourth proportional to 510.67, 704.75 and 314.07 is: 433.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.67 : 704.75 = 314.07 : x
  2. Step 2: Convert to fraction form
    510.67/704.75 = 314.07/x
  3. Step 3: Cross multiply
    510.67x = 704.75 × 314.07
  4. Step 4: Simplify right side
    510.67x = 221,340.83
  5. Step 5: Solve for x
    x = 221,340.83/510.67
  6. Step 6: Final answer
    x = 433.43

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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.