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Finding the Fourth Proportional to 510.44, 704.58 and 314.12

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Solution

The fourth proportional to 510.44, 704.58 and 314.12 is: 433.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.44 : 704.58 = 314.12 : x
  2. Step 2: Convert to fraction form
    510.44/704.58 = 314.12/x
  3. Step 3: Cross multiply
    510.44x = 704.58 × 314.12
  4. Step 4: Simplify right side
    510.44x = 221,322.67
  5. Step 5: Solve for x
    x = 221,322.67/510.44
  6. Step 6: Final answer
    x = 433.59

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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.