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Finding the Fourth Proportional to 588.34, 812.02 and 401.76

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Solution

The fourth proportional to 588.34, 812.02 and 401.76 is: 554.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.34 : 812.02 = 401.76 : x
  2. Step 2: Convert to fraction form
    588.34/812.02 = 401.76/x
  3. Step 3: Cross multiply
    588.34x = 812.02 × 401.76
  4. Step 4: Simplify right side
    588.34x = 326,237.67
  5. Step 5: Solve for x
    x = 326,237.67/588.34
  6. Step 6: Final answer
    x = 554.50

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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.