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Finding the Fourth Proportional to 590.96, 886.59 and 317.31

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Solution

The fourth proportional to 590.96, 886.59 and 317.31 is: 476.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.96 : 886.59 = 317.31 : x
  2. Step 2: Convert to fraction form
    590.96/886.59 = 317.31/x
  3. Step 3: Cross multiply
    590.96x = 886.59 × 317.31
  4. Step 4: Simplify right side
    590.96x = 281,323.87
  5. Step 5: Solve for x
    x = 281,323.87/590.96
  6. Step 6: Final answer
    x = 476.05

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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.