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Finding the Fourth Proportional to 567.59, 783.36 and 334.71

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Solution

The fourth proportional to 567.59, 783.36 and 334.71 is: 461.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.59 : 783.36 = 334.71 : x
  2. Step 2: Convert to fraction form
    567.59/783.36 = 334.71/x
  3. Step 3: Cross multiply
    567.59x = 783.36 × 334.71
  4. Step 4: Simplify right side
    567.59x = 262,198.43
  5. Step 5: Solve for x
    x = 262,198.43/567.59
  6. Step 6: Final answer
    x = 461.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.