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Finding the Fourth Proportional to 564.90, 846.85 and 305.04

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Solution

The fourth proportional to 564.90, 846.85 and 305.04 is: 457.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.90 : 846.85 = 305.04 : x
  2. Step 2: Convert to fraction form
    564.90/846.85 = 305.04/x
  3. Step 3: Cross multiply
    564.90x = 846.85 × 305.04
  4. Step 4: Simplify right side
    564.90x = 258,323.12
  5. Step 5: Solve for x
    x = 258,323.12/564.90
  6. Step 6: Final answer
    x = 457.29

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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.