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Finding the Fourth Proportional to 588.30, 811.71 and 457.68

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Solution

The fourth proportional to 588.30, 811.71 and 457.68 is: 631.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.30 : 811.71 = 457.68 : x
  2. Step 2: Convert to fraction form
    588.30/811.71 = 457.68/x
  3. Step 3: Cross multiply
    588.30x = 811.71 × 457.68
  4. Step 4: Simplify right side
    588.30x = 371,503.43
  5. Step 5: Solve for x
    x = 371,503.43/588.30
  6. Step 6: Final answer
    x = 631.49

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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.