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Finding the Fourth Proportional to 570.34, 786.14 and 445.78

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Solution

The fourth proportional to 570.34, 786.14 and 445.78 is: 614.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.34 : 786.14 = 445.78 : x
  2. Step 2: Convert to fraction form
    570.34/786.14 = 445.78/x
  3. Step 3: Cross multiply
    570.34x = 786.14 × 445.78
  4. Step 4: Simplify right side
    570.34x = 350,445.49
  5. Step 5: Solve for x
    x = 350,445.49/570.34
  6. Step 6: Final answer
    x = 614.45

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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.