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Finding the Fourth Proportional to 512.64, 705.60 and 357.12

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Solution

The fourth proportional to 512.64, 705.60 and 357.12 is: 491.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.64 : 705.60 = 357.12 : x
  2. Step 2: Convert to fraction form
    512.64/705.60 = 357.12/x
  3. Step 3: Cross multiply
    512.64x = 705.60 × 357.12
  4. Step 4: Simplify right side
    512.64x = 251,983.87
  5. Step 5: Solve for x
    x = 251,983.87/512.64
  6. Step 6: Final answer
    x = 491.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.