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Finding the Fourth Proportional to 590.64, 814.86 and 357.84

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Solution

The fourth proportional to 590.64, 814.86 and 357.84 is: 493.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.64 : 814.86 = 357.84 : x
  2. Step 2: Convert to fraction form
    590.64/814.86 = 357.84/x
  3. Step 3: Cross multiply
    590.64x = 814.86 × 357.84
  4. Step 4: Simplify right side
    590.64x = 291,589.50
  5. Step 5: Solve for x
    x = 291,589.50/590.64
  6. Step 6: Final answer
    x = 493.68

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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.