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Finding the Fourth Proportional to 582.31, 803.24 and 375.31

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Solution

The fourth proportional to 582.31, 803.24 and 375.31 is: 517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.31 : 803.24 = 375.31 : x
  2. Step 2: Convert to fraction form
    582.31/803.24 = 375.31/x
  3. Step 3: Cross multiply
    582.31x = 803.24 × 375.31
  4. Step 4: Simplify right side
    582.31x = 301,459.99
  5. Step 5: Solve for x
    x = 301,459.99/582.31
  6. Step 6: Final answer
    x = 517.70

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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.