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Finding the Fourth Proportional to 437.81, 654.95 and 380.63

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Solution

The fourth proportional to 437.81, 654.95 and 380.63 is: 569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.81 : 654.95 = 380.63 : x
  2. Step 2: Convert to fraction form
    437.81/654.95 = 380.63/x
  3. Step 3: Cross multiply
    437.81x = 654.95 × 380.63
  4. Step 4: Simplify right side
    437.81x = 249,296.21
  5. Step 5: Solve for x
    x = 249,296.21/437.81
  6. Step 6: Final answer
    x = 569.42

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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.