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Finding the Fourth Proportional to 588.06, 882.14 and 357.03

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Solution

The fourth proportional to 588.06, 882.14 and 357.03 is: 535.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.06 : 882.14 = 357.03 : x
  2. Step 2: Convert to fraction form
    588.06/882.14 = 357.03/x
  3. Step 3: Cross multiply
    588.06x = 882.14 × 357.03
  4. Step 4: Simplify right side
    588.06x = 314,948.66
  5. Step 5: Solve for x
    x = 314,948.66/588.06
  6. Step 6: Final answer
    x = 535.57

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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.