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Finding the Fourth Proportional to 510.46, 704.38 and 454.98

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Solution

The fourth proportional to 510.46, 704.38 and 454.98 is: 627.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.46 : 704.38 = 454.98 : x
  2. Step 2: Convert to fraction form
    510.46/704.38 = 454.98/x
  3. Step 3: Cross multiply
    510.46x = 704.38 × 454.98
  4. Step 4: Simplify right side
    510.46x = 320,478.81
  5. Step 5: Solve for x
    x = 320,478.81/510.46
  6. Step 6: Final answer
    x = 627.82

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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.