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Finding the Fourth Proportional to 570.02, 786.49 and 445.46

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Solution

The fourth proportional to 570.02, 786.49 and 445.46 is: 614.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.02 : 786.49 = 445.46 : x
  2. Step 2: Convert to fraction form
    570.02/786.49 = 445.46/x
  3. Step 3: Cross multiply
    570.02x = 786.49 × 445.46
  4. Step 4: Simplify right side
    570.02x = 350,349.84
  5. Step 5: Solve for x
    x = 350,349.84/570.02
  6. Step 6: Final answer
    x = 614.63

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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.