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Finding the Fourth Proportional to 512.02, 706.62 and 424.54

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Solution

The fourth proportional to 512.02, 706.62 and 424.54 is: 585.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.02 : 706.62 = 424.54 : x
  2. Step 2: Convert to fraction form
    512.02/706.62 = 424.54/x
  3. Step 3: Cross multiply
    512.02x = 706.62 × 424.54
  4. Step 4: Simplify right side
    512.02x = 299,988.45
  5. Step 5: Solve for x
    x = 299,988.45/512.02
  6. Step 6: Final answer
    x = 585.89

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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.