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Finding the Fourth Proportional to 567.69, 852.56 and 477.59

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Solution

The fourth proportional to 567.69, 852.56 and 477.59 is: 717.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.69 : 852.56 = 477.59 : x
  2. Step 2: Convert to fraction form
    567.69/852.56 = 477.59/x
  3. Step 3: Cross multiply
    567.69x = 852.56 × 477.59
  4. Step 4: Simplify right side
    567.69x = 407,167.48
  5. Step 5: Solve for x
    x = 407,167.48/567.69
  6. Step 6: Final answer
    x = 717.24

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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.