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Finding the Fourth Proportional to 590.46, 814.65 and 357.66

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Solution

The fourth proportional to 590.46, 814.65 and 357.66 is: 493.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.46 : 814.65 = 357.66 : x
  2. Step 2: Convert to fraction form
    590.46/814.65 = 357.66/x
  3. Step 3: Cross multiply
    590.46x = 814.65 × 357.66
  4. Step 4: Simplify right side
    590.46x = 291,367.72
  5. Step 5: Solve for x
    x = 291,367.72/590.46
  6. Step 6: Final answer
    x = 493.46

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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.