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Finding the Fourth Proportional to 590.24, 814.96 and 357.52

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Solution

The fourth proportional to 590.24, 814.96 and 357.52 is: 493.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.24 : 814.96 = 357.52 : x
  2. Step 2: Convert to fraction form
    590.24/814.96 = 357.52/x
  3. Step 3: Cross multiply
    590.24x = 814.96 × 357.52
  4. Step 4: Simplify right side
    590.24x = 291,364.50
  5. Step 5: Solve for x
    x = 291,364.50/590.24
  6. Step 6: Final answer
    x = 493.64

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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.