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Finding the Fourth Proportional to 565.59, 849.33 and 350.52

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Solution

The fourth proportional to 565.59, 849.33 and 350.52 is: 526.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.59 : 849.33 = 350.52 : x
  2. Step 2: Convert to fraction form
    565.59/849.33 = 350.52/x
  3. Step 3: Cross multiply
    565.59x = 849.33 × 350.52
  4. Step 4: Simplify right side
    565.59x = 297,707.15
  5. Step 5: Solve for x
    x = 297,707.15/565.59
  6. Step 6: Final answer
    x = 526.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.