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Finding the Fourth Proportional to 567.59, 852.98 and 336.51

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Solution

The fourth proportional to 567.59, 852.98 and 336.51 is: 505.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.59 : 852.98 = 336.51 : x
  2. Step 2: Convert to fraction form
    567.59/852.98 = 336.51/x
  3. Step 3: Cross multiply
    567.59x = 852.98 × 336.51
  4. Step 4: Simplify right side
    567.59x = 287,034.62
  5. Step 5: Solve for x
    x = 287,034.62/567.59
  6. Step 6: Final answer
    x = 505.71

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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.