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Finding the Fourth Proportional to 570.16, 855.07 and 296.11

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Solution

The fourth proportional to 570.16, 855.07 and 296.11 is: 444.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.16 : 855.07 = 296.11 : x
  2. Step 2: Convert to fraction form
    570.16/855.07 = 296.11/x
  3. Step 3: Cross multiply
    570.16x = 855.07 × 296.11
  4. Step 4: Simplify right side
    570.16x = 253,191.96
  5. Step 5: Solve for x
    x = 253,191.96/570.16
  6. Step 6: Final answer
    x = 444.07

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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.