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Finding the Fourth Proportional to 590.96, 815.46 and 342.25

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Solution

The fourth proportional to 590.96, 815.46 and 342.25 is: 472.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.96 : 815.46 = 342.25 : x
  2. Step 2: Convert to fraction form
    590.96/815.46 = 342.25/x
  3. Step 3: Cross multiply
    590.96x = 815.46 × 342.25
  4. Step 4: Simplify right side
    590.96x = 279,088.29
  5. Step 5: Solve for x
    x = 279,088.29/590.96
  6. Step 6: Final answer
    x = 472.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.