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Finding the Fourth Proportional to 590.16, 882.36 and 452.52

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Solution

The fourth proportional to 590.16, 882.36 and 452.52 is: 676.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.16 : 882.36 = 452.52 : x
  2. Step 2: Convert to fraction form
    590.16/882.36 = 452.52/x
  3. Step 3: Cross multiply
    590.16x = 882.36 × 452.52
  4. Step 4: Simplify right side
    590.16x = 399,285.55
  5. Step 5: Solve for x
    x = 399,285.55/590.16
  6. Step 6: Final answer
    x = 676.57

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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.