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Finding the Fourth Proportional to 570.02, 786.11 and 437.27

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Solution

The fourth proportional to 570.02, 786.11 and 437.27 is: 603.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.02 : 786.11 = 437.27 : x
  2. Step 2: Convert to fraction form
    570.02/786.11 = 437.27/x
  3. Step 3: Cross multiply
    570.02x = 786.11 × 437.27
  4. Step 4: Simplify right side
    570.02x = 343,736.20
  5. Step 5: Solve for x
    x = 343,736.20/570.02
  6. Step 6: Final answer
    x = 603.03

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Why These Related Problems?

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