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Finding the Fourth Proportional to 510.16, 704.07 and 313.80

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Solution

The fourth proportional to 510.16, 704.07 and 313.80 is: 433.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.16 : 704.07 = 313.80 : x
  2. Step 2: Convert to fraction form
    510.16/704.07 = 313.80/x
  3. Step 3: Cross multiply
    510.16x = 704.07 × 313.80
  4. Step 4: Simplify right side
    510.16x = 220,937.17
  5. Step 5: Solve for x
    x = 220,937.17/510.16
  6. Step 6: Final answer
    x = 433.07

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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.