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Finding the Fourth Proportional to 564.16, 846.44 and 275.76

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Solution

The fourth proportional to 564.16, 846.44 and 275.76 is: 413.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.16 : 846.44 = 275.76 : x
  2. Step 2: Convert to fraction form
    564.16/846.44 = 275.76/x
  3. Step 3: Cross multiply
    564.16x = 846.44 × 275.76
  4. Step 4: Simplify right side
    564.16x = 233,414.29
  5. Step 5: Solve for x
    x = 233,414.29/564.16
  6. Step 6: Final answer
    x = 413.74

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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.