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Finding the Fourth Proportional to 588.56, 808.91 and 572.16

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Solution

The fourth proportional to 588.56, 808.91 and 572.16 is: 786.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.56 : 808.91 = 572.16 : x
  2. Step 2: Convert to fraction form
    588.56/808.91 = 572.16/x
  3. Step 3: Cross multiply
    588.56x = 808.91 × 572.16
  4. Step 4: Simplify right side
    588.56x = 462,823.08
  5. Step 5: Solve for x
    x = 462,823.08/588.56
  6. Step 6: Final answer
    x = 786.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.