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Finding the Fourth Proportional to 510.65, 704.71 and 314.20

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Solution

The fourth proportional to 510.65, 704.71 and 314.20 is: 433.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.65 : 704.71 = 314.20 : x
  2. Step 2: Convert to fraction form
    510.65/704.71 = 314.20/x
  3. Step 3: Cross multiply
    510.65x = 704.71 × 314.20
  4. Step 4: Simplify right side
    510.65x = 221,419.88
  5. Step 5: Solve for x
    x = 221,419.88/510.65
  6. Step 6: Final answer
    x = 433.60

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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.