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Finding the Fourth Proportional to 588.52, 812.07 and 352.56

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Solution

The fourth proportional to 588.52, 812.07 and 352.56 is: 486.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.52 : 812.07 = 352.56 : x
  2. Step 2: Convert to fraction form
    588.52/812.07 = 352.56/x
  3. Step 3: Cross multiply
    588.52x = 812.07 × 352.56
  4. Step 4: Simplify right side
    588.52x = 286,303.40
  5. Step 5: Solve for x
    x = 286,303.40/588.52
  6. Step 6: Final answer
    x = 486.48

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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.