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Finding the Fourth Proportional to 577.02, 864.27 and 302.70

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Solution

The fourth proportional to 577.02, 864.27 and 302.70 is: 453.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.02 : 864.27 = 302.70 : x
  2. Step 2: Convert to fraction form
    577.02/864.27 = 302.70/x
  3. Step 3: Cross multiply
    577.02x = 864.27 × 302.70
  4. Step 4: Simplify right side
    577.02x = 261,614.53
  5. Step 5: Solve for x
    x = 261,614.53/577.02
  6. Step 6: Final answer
    x = 453.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.