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Finding the Fourth Proportional to 588.83, 882.59 and 452.43

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Solution

The fourth proportional to 588.83, 882.59 and 452.43 is: 678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.83 : 882.59 = 452.43 : x
  2. Step 2: Convert to fraction form
    588.83/882.59 = 452.43/x
  3. Step 3: Cross multiply
    588.83x = 882.59 × 452.43
  4. Step 4: Simplify right side
    588.83x = 399,307.93
  5. Step 5: Solve for x
    x = 399,307.93/588.83
  6. Step 6: Final answer
    x = 678.14

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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.