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Finding the Fourth Proportional to 474.87, 653.15 and 381.41

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Solution

The fourth proportional to 474.87, 653.15 and 381.41 is: 524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.87 : 653.15 = 381.41 : x
  2. Step 2: Convert to fraction form
    474.87/653.15 = 381.41/x
  3. Step 3: Cross multiply
    474.87x = 653.15 × 381.41
  4. Step 4: Simplify right side
    474.87x = 249,118.08
  5. Step 5: Solve for x
    x = 249,118.08/474.87
  6. Step 6: Final answer
    x = 524.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.