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Finding the Fourth Proportional to 590.52, 814.86 and 357.24

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Solution

The fourth proportional to 590.52, 814.86 and 357.24 is: 492.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.52 : 814.86 = 357.24 : x
  2. Step 2: Convert to fraction form
    590.52/814.86 = 357.24/x
  3. Step 3: Cross multiply
    590.52x = 814.86 × 357.24
  4. Step 4: Simplify right side
    590.52x = 291,100.59
  5. Step 5: Solve for x
    x = 291,100.59/590.52
  6. Step 6: Final answer
    x = 492.96

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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.