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Finding the Fourth Proportional to 588.52, 812.10 and 381.52

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Solution

The fourth proportional to 588.52, 812.10 and 381.52 is: 526.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.52 : 812.10 = 381.52 : x
  2. Step 2: Convert to fraction form
    588.52/812.10 = 381.52/x
  3. Step 3: Cross multiply
    588.52x = 812.10 × 381.52
  4. Step 4: Simplify right side
    588.52x = 309,832.39
  5. Step 5: Solve for x
    x = 309,832.39/588.52
  6. Step 6: Final answer
    x = 526.46

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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.