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Finding the Fourth Proportional to 510.74, 704.92 and 314.45

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Solution

The fourth proportional to 510.74, 704.92 and 314.45 is: 434.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.74 : 704.92 = 314.45 : x
  2. Step 2: Convert to fraction form
    510.74/704.92 = 314.45/x
  3. Step 3: Cross multiply
    510.74x = 704.92 × 314.45
  4. Step 4: Simplify right side
    510.74x = 221,658.57
  5. Step 5: Solve for x
    x = 221,658.57/510.74
  6. Step 6: Final answer
    x = 434.00

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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.