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Finding the Fourth Proportional to 564.27, 841.26 and 549.84

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Solution

The fourth proportional to 564.27, 841.26 and 549.84 is: 819.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.27 : 841.26 = 549.84 : x
  2. Step 2: Convert to fraction form
    564.27/841.26 = 549.84/x
  3. Step 3: Cross multiply
    564.27x = 841.26 × 549.84
  4. Step 4: Simplify right side
    564.27x = 462,558.40
  5. Step 5: Solve for x
    x = 462,558.40/564.27
  6. Step 6: Final answer
    x = 819.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.