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Finding the Fourth Proportional to 875.38, 1,313.66 and 362.38

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Solution

The fourth proportional to 875.38, 1,313.66 and 362.38 is: 543.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.38 : 1,313.66 = 362.38 : x
  2. Step 2: Convert to fraction form
    875.38/1,313.66 = 362.38/x
  3. Step 3: Cross multiply
    875.38x = 1,313.66 × 362.38
  4. Step 4: Simplify right side
    875.38x = 476,044.11
  5. Step 5: Solve for x
    x = 476,044.11/875.38
  6. Step 6: Final answer
    x = 543.81

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Why These Related Problems?

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