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Finding the Fourth Proportional to 588.47, 812.10 and 322.92

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Solution

The fourth proportional to 588.47, 812.10 and 322.92 is: 445.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.47 : 812.10 = 322.92 : x
  2. Step 2: Convert to fraction form
    588.47/812.10 = 322.92/x
  3. Step 3: Cross multiply
    588.47x = 812.10 × 322.92
  4. Step 4: Simplify right side
    588.47x = 262,247.59
  5. Step 5: Solve for x
    x = 262,247.59/588.47
  6. Step 6: Final answer
    x = 445.64

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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.