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Finding the Fourth Proportional to 588.01, 811.58 and 378.35

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Solution

The fourth proportional to 588.01, 811.58 and 378.35 is: 522.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.01 : 811.58 = 378.35 : x
  2. Step 2: Convert to fraction form
    588.01/811.58 = 378.35/x
  3. Step 3: Cross multiply
    588.01x = 811.58 × 378.35
  4. Step 4: Simplify right side
    588.01x = 307,061.43
  5. Step 5: Solve for x
    x = 307,061.43/588.01
  6. Step 6: Final answer
    x = 522.21

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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.