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Finding the Fourth Proportional to 577.07, 864.79 and 381.74

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Solution

The fourth proportional to 577.07, 864.79 and 381.74 is: 572.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.07 : 864.79 = 381.74 : x
  2. Step 2: Convert to fraction form
    577.07/864.79 = 381.74/x
  3. Step 3: Cross multiply
    577.07x = 864.79 × 381.74
  4. Step 4: Simplify right side
    577.07x = 330,126.14
  5. Step 5: Solve for x
    x = 330,126.14/577.07
  6. Step 6: Final answer
    x = 572.08

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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.