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Finding the Fourth Proportional to 380.63, 524.49 and 292.10

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Solution

The fourth proportional to 380.63, 524.49 and 292.10 is: 402.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.63 : 524.49 = 292.10 : x
  2. Step 2: Convert to fraction form
    380.63/524.49 = 292.10/x
  3. Step 3: Cross multiply
    380.63x = 524.49 × 292.10
  4. Step 4: Simplify right side
    380.63x = 153,203.53
  5. Step 5: Solve for x
    x = 153,203.53/380.63
  6. Step 6: Final answer
    x = 402.51

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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.