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Finding the Fourth Proportional to 590.10, 886.10 and 469.37

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Solution

The fourth proportional to 590.10, 886.10 and 469.37 is: 704.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.10 : 886.10 = 469.37 : x
  2. Step 2: Convert to fraction form
    590.10/886.10 = 469.37/x
  3. Step 3: Cross multiply
    590.10x = 886.10 × 469.37
  4. Step 4: Simplify right side
    590.10x = 415,901.98
  5. Step 5: Solve for x
    x = 415,901.98/590.10
  6. Step 6: Final answer
    x = 704.80

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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.