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Finding the Fourth Proportional to 564.30, 846.89 and 410.29

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Solution

The fourth proportional to 564.30, 846.89 and 410.29 is: 615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.30 : 846.89 = 410.29 : x
  2. Step 2: Convert to fraction form
    564.30/846.89 = 410.29/x
  3. Step 3: Cross multiply
    564.30x = 846.89 × 410.29
  4. Step 4: Simplify right side
    564.30x = 347,470.50
  5. Step 5: Solve for x
    x = 347,470.50/564.30
  6. Step 6: Final answer
    x = 615.75

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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.