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Finding the Fourth Proportional to 588.84, 812.75 and 367.67

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Solution

The fourth proportional to 588.84, 812.75 and 367.67 is: 507.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.84 : 812.75 = 367.67 : x
  2. Step 2: Convert to fraction form
    588.84/812.75 = 367.67/x
  3. Step 3: Cross multiply
    588.84x = 812.75 × 367.67
  4. Step 4: Simplify right side
    588.84x = 298,823.79
  5. Step 5: Solve for x
    x = 298,823.79/588.84
  6. Step 6: Final answer
    x = 507.48

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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.