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Finding the Fourth Proportional to 585.98, 810.43 and 523.70

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Solution

The fourth proportional to 585.98, 810.43 and 523.70 is: 724.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.98 : 810.43 = 523.70 : x
  2. Step 2: Convert to fraction form
    585.98/810.43 = 523.70/x
  3. Step 3: Cross multiply
    585.98x = 810.43 × 523.70
  4. Step 4: Simplify right side
    585.98x = 424,422.91
  5. Step 5: Solve for x
    x = 424,422.91/585.98
  6. Step 6: Final answer
    x = 724.29

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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.