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Finding the Fourth Proportional to 590.96, 814.71 and 424.88

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Solution

The fourth proportional to 590.96, 814.71 and 424.88 is: 585.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.96 : 814.71 = 424.88 : x
  2. Step 2: Convert to fraction form
    590.96/814.71 = 424.88/x
  3. Step 3: Cross multiply
    590.96x = 814.71 × 424.88
  4. Step 4: Simplify right side
    590.96x = 346,153.98
  5. Step 5: Solve for x
    x = 346,153.98/590.96
  6. Step 6: Final answer
    x = 585.75

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