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Finding the Fourth Proportional to 417.79, 623.39 and 385.48

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Solution

The fourth proportional to 417.79, 623.39 and 385.48 is: 575.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.79 : 623.39 = 385.48 : x
  2. Step 2: Convert to fraction form
    417.79/623.39 = 385.48/x
  3. Step 3: Cross multiply
    417.79x = 623.39 × 385.48
  4. Step 4: Simplify right side
    417.79x = 240,304.38
  5. Step 5: Solve for x
    x = 240,304.38/417.79
  6. Step 6: Final answer
    x = 575.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.