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Finding the Fourth Proportional to 567.61, 846.65 and 529.34

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Solution

The fourth proportional to 567.61, 846.65 and 529.34 is: 789.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.61 : 846.65 = 529.34 : x
  2. Step 2: Convert to fraction form
    567.61/846.65 = 529.34/x
  3. Step 3: Cross multiply
    567.61x = 846.65 × 529.34
  4. Step 4: Simplify right side
    567.61x = 448,162.80
  5. Step 5: Solve for x
    x = 448,162.80/567.61
  6. Step 6: Final answer
    x = 789.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.