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Finding the Fourth Proportional to 575.51, 862.56 and 267.08

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Solution

The fourth proportional to 575.51, 862.56 and 267.08 is: 400.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.51 : 862.56 = 267.08 : x
  2. Step 2: Convert to fraction form
    575.51/862.56 = 267.08/x
  3. Step 3: Cross multiply
    575.51x = 862.56 × 267.08
  4. Step 4: Simplify right side
    575.51x = 230,368.21
  5. Step 5: Solve for x
    x = 230,368.21/575.51
  6. Step 6: Final answer
    x = 400.29

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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.