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Finding the Fourth Proportional to 570.09, 785.80 and 445.53

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Solution

The fourth proportional to 570.09, 785.80 and 445.53 is: 614.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.09 : 785.80 = 445.53 : x
  2. Step 2: Convert to fraction form
    570.09/785.80 = 445.53/x
  3. Step 3: Cross multiply
    570.09x = 785.80 × 445.53
  4. Step 4: Simplify right side
    570.09x = 350,095.25
  5. Step 5: Solve for x
    x = 350,095.25/570.09
  6. Step 6: Final answer
    x = 614.11

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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.