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Finding the Fourth Proportional to 572.06, 856.46 and 409.26

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Solution

The fourth proportional to 572.06, 856.46 and 409.26 is: 612.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.06 : 856.46 = 409.26 : x
  2. Step 2: Convert to fraction form
    572.06/856.46 = 409.26/x
  3. Step 3: Cross multiply
    572.06x = 856.46 × 409.26
  4. Step 4: Simplify right side
    572.06x = 350,514.82
  5. Step 5: Solve for x
    x = 350,514.82/572.06
  6. Step 6: Final answer
    x = 612.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.