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Finding the Fourth Proportional to 588.78, 810.90 and 483.53

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Solution

The fourth proportional to 588.78, 810.90 and 483.53 is: 665.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.78 : 810.90 = 483.53 : x
  2. Step 2: Convert to fraction form
    588.78/810.90 = 483.53/x
  3. Step 3: Cross multiply
    588.78x = 810.90 × 483.53
  4. Step 4: Simplify right side
    588.78x = 392,095.44
  5. Step 5: Solve for x
    x = 392,095.44/588.78
  6. Step 6: Final answer
    x = 665.94

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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.