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Finding the Fourth Proportional to 588.74, 882.65 and 357.57

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Solution

The fourth proportional to 588.74, 882.65 and 357.57 is: 536.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.74 : 882.65 = 357.57 : x
  2. Step 2: Convert to fraction form
    588.74/882.65 = 357.57/x
  3. Step 3: Cross multiply
    588.74x = 882.65 × 357.57
  4. Step 4: Simplify right side
    588.74x = 315,610.05
  5. Step 5: Solve for x
    x = 315,610.05/588.74
  6. Step 6: Final answer
    x = 536.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.