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Finding the Fourth Proportional to 510.14, 704.04 and 313.76

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Solution

The fourth proportional to 510.14, 704.04 and 313.76 is: 433.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.14 : 704.04 = 313.76 : x
  2. Step 2: Convert to fraction form
    510.14/704.04 = 313.76/x
  3. Step 3: Cross multiply
    510.14x = 704.04 × 313.76
  4. Step 4: Simplify right side
    510.14x = 220,899.59
  5. Step 5: Solve for x
    x = 220,899.59/510.14
  6. Step 6: Final answer
    x = 433.02

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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.