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Finding the Fourth Proportional to 510.67, 704.72 and 314.18

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Solution

The fourth proportional to 510.67, 704.72 and 314.18 is: 433.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.67 : 704.72 = 314.18 : x
  2. Step 2: Convert to fraction form
    510.67/704.72 = 314.18/x
  3. Step 3: Cross multiply
    510.67x = 704.72 × 314.18
  4. Step 4: Simplify right side
    510.67x = 221,408.93
  5. Step 5: Solve for x
    x = 221,408.93/510.67
  6. Step 6: Final answer
    x = 433.57

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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.