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Finding the Fourth Proportional to 417.70, 623.28 and 387.14

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Solution

The fourth proportional to 417.70, 623.28 and 387.14 is: 577.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.70 : 623.28 = 387.14 : x
  2. Step 2: Convert to fraction form
    417.70/623.28 = 387.14/x
  3. Step 3: Cross multiply
    417.70x = 623.28 × 387.14
  4. Step 4: Simplify right side
    417.70x = 241,296.62
  5. Step 5: Solve for x
    x = 241,296.62/417.70
  6. Step 6: Final answer
    x = 577.68

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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.