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Finding the Fourth Proportional to 510.74, 704.16 and 421.90

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Solution

The fourth proportional to 510.74, 704.16 and 421.90 is: 581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.74 : 704.16 = 421.90 : x
  2. Step 2: Convert to fraction form
    510.74/704.16 = 421.90/x
  3. Step 3: Cross multiply
    510.74x = 704.16 × 421.90
  4. Step 4: Simplify right side
    510.74x = 297,085.10
  5. Step 5: Solve for x
    x = 297,085.10/510.74
  6. Step 6: Final answer
    x = 581.68

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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.