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Finding the Fourth Proportional to 380.07, 572.54 and 375.28

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Solution

The fourth proportional to 380.07, 572.54 and 375.28 is: 565.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.07 : 572.54 = 375.28 : x
  2. Step 2: Convert to fraction form
    380.07/572.54 = 375.28/x
  3. Step 3: Cross multiply
    380.07x = 572.54 × 375.28
  4. Step 4: Simplify right side
    380.07x = 214,862.81
  5. Step 5: Solve for x
    x = 214,862.81/380.07
  6. Step 6: Final answer
    x = 565.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.