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Finding the Fourth Proportional to 590.33, 814.58 and 341.72

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Solution

The fourth proportional to 590.33, 814.58 and 341.72 is: 471.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.33 : 814.58 = 341.72 : x
  2. Step 2: Convert to fraction form
    590.33/814.58 = 341.72/x
  3. Step 3: Cross multiply
    590.33x = 814.58 × 341.72
  4. Step 4: Simplify right side
    590.33x = 278,352.50
  5. Step 5: Solve for x
    x = 278,352.50/590.33
  6. Step 6: Final answer
    x = 471.52

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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.