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Finding the Fourth Proportional to 510.86, 704.93 and 314.36

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Solution

The fourth proportional to 510.86, 704.93 and 314.36 is: 433.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.86 : 704.93 = 314.36 : x
  2. Step 2: Convert to fraction form
    510.86/704.93 = 314.36/x
  3. Step 3: Cross multiply
    510.86x = 704.93 × 314.36
  4. Step 4: Simplify right side
    510.86x = 221,601.79
  5. Step 5: Solve for x
    x = 221,601.79/510.86
  6. Step 6: Final answer
    x = 433.79

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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.