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Finding the Fourth Proportional to 591.29, 816.06 and 370.13

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Solution

The fourth proportional to 591.29, 816.06 and 370.13 is: 510.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.29 : 816.06 = 370.13 : x
  2. Step 2: Convert to fraction form
    591.29/816.06 = 370.13/x
  3. Step 3: Cross multiply
    591.29x = 816.06 × 370.13
  4. Step 4: Simplify right side
    591.29x = 302,044.21
  5. Step 5: Solve for x
    x = 302,044.21/591.29
  6. Step 6: Final answer
    x = 510.83

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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.