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Finding the Fourth Proportional to 588.42, 812.39 and 378.68

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Solution

The fourth proportional to 588.42, 812.39 and 378.68 is: 522.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.42 : 812.39 = 378.68 : x
  2. Step 2: Convert to fraction form
    588.42/812.39 = 378.68/x
  3. Step 3: Cross multiply
    588.42x = 812.39 × 378.68
  4. Step 4: Simplify right side
    588.42x = 307,629.89
  5. Step 5: Solve for x
    x = 307,629.89/588.42
  6. Step 6: Final answer
    x = 522.81

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1.5x scale

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.