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Finding the Fourth Proportional to 512.64, 706.56 and 433.92

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Solution

The fourth proportional to 512.64, 706.56 and 433.92 is: 598.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.64 : 706.56 = 433.92 : x
  2. Step 2: Convert to fraction form
    512.64/706.56 = 433.92/x
  3. Step 3: Cross multiply
    512.64x = 706.56 × 433.92
  4. Step 4: Simplify right side
    512.64x = 306,590.52
  5. Step 5: Solve for x
    x = 306,590.52/512.64
  6. Step 6: Final answer
    x = 598.06

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