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Finding the Fourth Proportional to 623.41, 859.76 and 512.24

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Solution

The fourth proportional to 623.41, 859.76 and 512.24 is: 706.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.41 : 859.76 = 512.24 : x
  2. Step 2: Convert to fraction form
    623.41/859.76 = 512.24/x
  3. Step 3: Cross multiply
    623.41x = 859.76 × 512.24
  4. Step 4: Simplify right side
    623.41x = 440,404.74
  5. Step 5: Solve for x
    x = 440,404.74/623.41
  6. Step 6: Final answer
    x = 706.44

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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.