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Finding the Fourth Proportional to 510.51, 704.54 and 314.00

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Solution

The fourth proportional to 510.51, 704.54 and 314.00 is: 433.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.51 : 704.54 = 314.00 : x
  2. Step 2: Convert to fraction form
    510.51/704.54 = 314.00/x
  3. Step 3: Cross multiply
    510.51x = 704.54 × 314.00
  4. Step 4: Simplify right side
    510.51x = 221,220.47
  5. Step 5: Solve for x
    x = 221,220.47/510.51
  6. Step 6: Final answer
    x = 433.33

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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.