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Finding the Fourth Proportional to 380.32, 524.71 and 247.53

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Solution

The fourth proportional to 380.32, 524.71 and 247.53 is: 341.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.32 : 524.71 = 247.53 : x
  2. Step 2: Convert to fraction form
    380.32/524.71 = 247.53/x
  3. Step 3: Cross multiply
    380.32x = 524.71 × 247.53
  4. Step 4: Simplify right side
    380.32x = 129,881.47
  5. Step 5: Solve for x
    x = 129,881.47/380.32
  6. Step 6: Final answer
    x = 341.51

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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.