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Finding the Fourth Proportional to 564.30, 841.64 and 544.71

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Solution

The fourth proportional to 564.30, 841.64 and 544.71 is: 812.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.30 : 841.64 = 544.71 : x
  2. Step 2: Convert to fraction form
    564.30/841.64 = 544.71/x
  3. Step 3: Cross multiply
    564.30x = 841.64 × 544.71
  4. Step 4: Simplify right side
    564.30x = 458,447.00
  5. Step 5: Solve for x
    x = 458,447.00/564.30
  6. Step 6: Final answer
    x = 812.42

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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.