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Finding the Fourth Proportional to 561.53, 840.17 and 345.26

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Solution

The fourth proportional to 561.53, 840.17 and 345.26 is: 516.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.53 : 840.17 = 345.26 : x
  2. Step 2: Convert to fraction form
    561.53/840.17 = 345.26/x
  3. Step 3: Cross multiply
    561.53x = 840.17 × 345.26
  4. Step 4: Simplify right side
    561.53x = 290,080.06
  5. Step 5: Solve for x
    x = 290,080.06/561.53
  6. Step 6: Final answer
    x = 516.59

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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.