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Finding the Fourth Proportional to 567.24, 851.46 and 336.36

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Solution

The fourth proportional to 567.24, 851.46 and 336.36 is: 504.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.24 : 851.46 = 336.36 : x
  2. Step 2: Convert to fraction form
    567.24/851.46 = 336.36/x
  3. Step 3: Cross multiply
    567.24x = 851.46 × 336.36
  4. Step 4: Simplify right side
    567.24x = 286,397.09
  5. Step 5: Solve for x
    x = 286,397.09/567.24
  6. Step 6: Final answer
    x = 504.90

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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.