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Finding the Fourth Proportional to 564.72, 847.64 and 305.16

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Solution

The fourth proportional to 564.72, 847.64 and 305.16 is: 458.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.72 : 847.64 = 305.16 : x
  2. Step 2: Convert to fraction form
    564.72/847.64 = 305.16/x
  3. Step 3: Cross multiply
    564.72x = 847.64 × 305.16
  4. Step 4: Simplify right side
    564.72x = 258,665.82
  5. Step 5: Solve for x
    x = 258,665.82/564.72
  6. Step 6: Final answer
    x = 458.04

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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.