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Finding the Fourth Proportional to 437.23, 655.71 and 385.93

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Solution

The fourth proportional to 437.23, 655.71 and 385.93 is: 578.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.23 : 655.71 = 385.93 : x
  2. Step 2: Convert to fraction form
    437.23/655.71 = 385.93/x
  3. Step 3: Cross multiply
    437.23x = 655.71 × 385.93
  4. Step 4: Simplify right side
    437.23x = 253,058.16
  5. Step 5: Solve for x
    x = 253,058.16/437.23
  6. Step 6: Final answer
    x = 578.78

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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.