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Finding the Fourth Proportional to 570.24, 785.16 and 523.80

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Solution

The fourth proportional to 570.24, 785.16 and 523.80 is: 721.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.24 : 785.16 = 523.80 : x
  2. Step 2: Convert to fraction form
    570.24/785.16 = 523.80/x
  3. Step 3: Cross multiply
    570.24x = 785.16 × 523.80
  4. Step 4: Simplify right side
    570.24x = 411,266.81
  5. Step 5: Solve for x
    x = 411,266.81/570.24
  6. Step 6: Final answer
    x = 721.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.