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Finding the Fourth Proportional to 570.60, 856.53 and 409.01

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Solution

The fourth proportional to 570.60, 856.53 and 409.01 is: 613.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.60 : 856.53 = 409.01 : x
  2. Step 2: Convert to fraction form
    570.60/856.53 = 409.01/x
  3. Step 3: Cross multiply
    570.60x = 856.53 × 409.01
  4. Step 4: Simplify right side
    570.60x = 350,323.01
  5. Step 5: Solve for x
    x = 350,323.01/570.60
  6. Step 6: Final answer
    x = 613.96

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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.