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Finding the Fourth Proportional to 570.71, 855.29 and 205.16

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Solution

The fourth proportional to 570.71, 855.29 and 205.16 is: 307.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.71 : 855.29 = 205.16 : x
  2. Step 2: Convert to fraction form
    570.71/855.29 = 205.16/x
  3. Step 3: Cross multiply
    570.71x = 855.29 × 205.16
  4. Step 4: Simplify right side
    570.71x = 175,465.99
  5. Step 5: Solve for x
    x = 175,465.99/570.71
  6. Step 6: Final answer
    x = 307.45

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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.