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Finding the Fourth Proportional to 564.14, 845.66 and 509.16

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Solution

The fourth proportional to 564.14, 845.66 and 509.16 is: 763.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.14 : 845.66 = 509.16 : x
  2. Step 2: Convert to fraction form
    564.14/845.66 = 509.16/x
  3. Step 3: Cross multiply
    564.14x = 845.66 × 509.16
  4. Step 4: Simplify right side
    564.14x = 430,576.25
  5. Step 5: Solve for x
    x = 430,576.25/564.14
  6. Step 6: Final answer
    x = 763.24

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Why These Related Problems?

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