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Finding the Fourth Proportional to 590.34, 883.08 and 451.86

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Solution

The fourth proportional to 590.34, 883.08 and 451.86 is: 675.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.34 : 883.08 = 451.86 : x
  2. Step 2: Convert to fraction form
    590.34/883.08 = 451.86/x
  3. Step 3: Cross multiply
    590.34x = 883.08 × 451.86
  4. Step 4: Simplify right side
    590.34x = 399,028.53
  5. Step 5: Solve for x
    x = 399,028.53/590.34
  6. Step 6: Final answer
    x = 675.93

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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.