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Finding the Fourth Proportional to 875.23, 1,313.07 and 327.42

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Solution

The fourth proportional to 875.23, 1,313.07 and 327.42 is: 491.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.23 : 1,313.07 = 327.42 : x
  2. Step 2: Convert to fraction form
    875.23/1,313.07 = 327.42/x
  3. Step 3: Cross multiply
    875.23x = 1,313.07 × 327.42
  4. Step 4: Simplify right side
    875.23x = 429,925.38
  5. Step 5: Solve for x
    x = 429,925.38/875.23
  6. Step 6: Final answer
    x = 491.21

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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.