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Finding the Fourth Proportional to 570.79, 855.67 and 297.07

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Solution

The fourth proportional to 570.79, 855.67 and 297.07 is: 445.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.79 : 855.67 = 297.07 : x
  2. Step 2: Convert to fraction form
    570.79/855.67 = 297.07/x
  3. Step 3: Cross multiply
    570.79x = 855.67 × 297.07
  4. Step 4: Simplify right side
    570.79x = 254,196.38
  5. Step 5: Solve for x
    x = 254,196.38/570.79
  6. Step 6: Final answer
    x = 445.34

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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.