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Finding the Fourth Proportional to 570.24, 785.70 and 548.64

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Solution

The fourth proportional to 570.24, 785.70 and 548.64 is: 755.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.24 : 785.70 = 548.64 : x
  2. Step 2: Convert to fraction form
    570.24/785.70 = 548.64/x
  3. Step 3: Cross multiply
    570.24x = 785.70 × 548.64
  4. Step 4: Simplify right side
    570.24x = 431,066.45
  5. Step 5: Solve for x
    x = 431,066.45/570.24
  6. Step 6: Final answer
    x = 755.94

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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.