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Finding the Fourth Proportional to 564.23, 846.57 and 508.87

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Solution

The fourth proportional to 564.23, 846.57 and 508.87 is: 763.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.23 : 846.57 = 508.87 : x
  2. Step 2: Convert to fraction form
    564.23/846.57 = 508.87/x
  3. Step 3: Cross multiply
    564.23x = 846.57 × 508.87
  4. Step 4: Simplify right side
    564.23x = 430,794.08
  5. Step 5: Solve for x
    x = 430,794.08/564.23
  6. Step 6: Final answer
    x = 763.51

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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.