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Finding the Fourth Proportional to 577.07, 864.30 and 446.15

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Solution

The fourth proportional to 577.07, 864.30 and 446.15 is: 668.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.07 : 864.30 = 446.15 : x
  2. Step 2: Convert to fraction form
    577.07/864.30 = 446.15/x
  3. Step 3: Cross multiply
    577.07x = 864.30 × 446.15
  4. Step 4: Simplify right side
    577.07x = 385,603.12
  5. Step 5: Solve for x
    x = 385,603.12/577.07
  6. Step 6: Final answer
    x = 668.21

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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.