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Finding the Fourth Proportional to 570.64, 856.32 and 296.68

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Solution

The fourth proportional to 570.64, 856.32 and 296.68 is: 445.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.64 : 856.32 = 296.68 : x
  2. Step 2: Convert to fraction form
    570.64/856.32 = 296.68/x
  3. Step 3: Cross multiply
    570.64x = 856.32 × 296.68
  4. Step 4: Simplify right side
    570.64x = 254,053.02
  5. Step 5: Solve for x
    x = 254,053.02/570.64
  6. Step 6: Final answer
    x = 445.21

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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.