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Finding the Fourth Proportional to 590.08, 814.56 and 357.28

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Solution

The fourth proportional to 590.08, 814.56 and 357.28 is: 493.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.08 : 814.56 = 357.28 : x
  2. Step 2: Convert to fraction form
    590.08/814.56 = 357.28/x
  3. Step 3: Cross multiply
    590.08x = 814.56 × 357.28
  4. Step 4: Simplify right side
    590.08x = 291,026.00
  5. Step 5: Solve for x
    x = 291,026.00/590.08
  6. Step 6: Final answer
    x = 493.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.