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Finding the Fourth Proportional to 590.18, 814.47 and 458.96

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Solution

The fourth proportional to 590.18, 814.47 and 458.96 is: 633.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.18 : 814.47 = 458.96 : x
  2. Step 2: Convert to fraction form
    590.18/814.47 = 458.96/x
  3. Step 3: Cross multiply
    590.18x = 814.47 × 458.96
  4. Step 4: Simplify right side
    590.18x = 373,809.15
  5. Step 5: Solve for x
    x = 373,809.15/590.18
  6. Step 6: Final answer
    x = 633.38

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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.