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Finding the Fourth Proportional to 588.68, 811.98 and 381.68

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Solution

The fourth proportional to 588.68, 811.98 and 381.68 is: 526.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.68 : 811.98 = 381.68 : x
  2. Step 2: Convert to fraction form
    588.68/811.98 = 381.68/x
  3. Step 3: Cross multiply
    588.68x = 811.98 × 381.68
  4. Step 4: Simplify right side
    588.68x = 309,916.53
  5. Step 5: Solve for x
    x = 309,916.53/588.68
  6. Step 6: Final answer
    x = 526.46

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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.