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Finding the Fourth Proportional to 567.32, 850.96 and 278.52

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Solution

The fourth proportional to 567.32, 850.96 and 278.52 is: 417.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.32 : 850.96 = 278.52 : x
  2. Step 2: Convert to fraction form
    567.32/850.96 = 278.52/x
  3. Step 3: Cross multiply
    567.32x = 850.96 × 278.52
  4. Step 4: Simplify right side
    567.32x = 237,009.38
  5. Step 5: Solve for x
    x = 237,009.38/567.32
  6. Step 6: Final answer
    x = 417.77

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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.