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Finding the Fourth Proportional to 567.71, 851.81 and 294

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Solution

The fourth proportional to 567.71, 851.81 and 294 is: 441.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.71 : 851.81 = 294 : x
  2. Step 2: Convert to fraction form
    567.71/851.81 = 294/x
  3. Step 3: Cross multiply
    567.71x = 851.81 × 294
  4. Step 4: Simplify right side
    567.71x = 250,432.14
  5. Step 5: Solve for x
    x = 250,432.14/567.71
  6. Step 6: Final answer
    x = 441.13

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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.