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Finding the Fourth Proportional to 590.54, 886.23 and 408.15

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Solution

The fourth proportional to 590.54, 886.23 and 408.15 is: 612.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.54 : 886.23 = 408.15 : x
  2. Step 2: Convert to fraction form
    590.54/886.23 = 408.15/x
  3. Step 3: Cross multiply
    590.54x = 886.23 × 408.15
  4. Step 4: Simplify right side
    590.54x = 361,714.77
  5. Step 5: Solve for x
    x = 361,714.77/590.54
  6. Step 6: Final answer
    x = 612.52

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