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Finding the Fourth Proportional to 375.51, 562.28 and 265.22

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Solution

The fourth proportional to 375.51, 562.28 and 265.22 is: 397.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.51 : 562.28 = 265.22 : x
  2. Step 2: Convert to fraction form
    375.51/562.28 = 265.22/x
  3. Step 3: Cross multiply
    375.51x = 562.28 × 265.22
  4. Step 4: Simplify right side
    375.51x = 149,129.04
  5. Step 5: Solve for x
    x = 149,129.04/375.51
  6. Step 6: Final answer
    x = 397.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.