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Finding the Fourth Proportional to 588.78, 811.95 and 389.52

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Solution

The fourth proportional to 588.78, 811.95 and 389.52 is: 537.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.78 : 811.95 = 389.52 : x
  2. Step 2: Convert to fraction form
    588.78/811.95 = 389.52/x
  3. Step 3: Cross multiply
    588.78x = 811.95 × 389.52
  4. Step 4: Simplify right side
    588.78x = 316,266.26
  5. Step 5: Solve for x
    x = 316,266.26/588.78
  6. Step 6: Final answer
    x = 537.16

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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.