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Finding the Fourth Proportional to 564.49, 846.06 and 290.71

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Solution

The fourth proportional to 564.49, 846.06 and 290.71 is: 435.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.49 : 846.06 = 290.71 : x
  2. Step 2: Convert to fraction form
    564.49/846.06 = 290.71/x
  3. Step 3: Cross multiply
    564.49x = 846.06 × 290.71
  4. Step 4: Simplify right side
    564.49x = 245,958.10
  5. Step 5: Solve for x
    x = 245,958.10/564.49
  6. Step 6: Final answer
    x = 435.72

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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.