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Finding the Fourth Proportional to 564.32, 846.16 and 412

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Solution

The fourth proportional to 564.32, 846.16 and 412 is: 617.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.32 : 846.16 = 412 : x
  2. Step 2: Convert to fraction form
    564.32/846.16 = 412/x
  3. Step 3: Cross multiply
    564.32x = 846.16 × 412
  4. Step 4: Simplify right side
    564.32x = 348,617.92
  5. Step 5: Solve for x
    x = 348,617.92/564.32
  6. Step 6: Final answer
    x = 617.77

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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.