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Finding the Fourth Proportional to 567.67, 852.54 and 524.29

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Solution

The fourth proportional to 567.67, 852.54 and 524.29 is: 787.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.67 : 852.54 = 524.29 : x
  2. Step 2: Convert to fraction form
    567.67/852.54 = 524.29/x
  3. Step 3: Cross multiply
    567.67x = 852.54 × 524.29
  4. Step 4: Simplify right side
    567.67x = 446,971.31
  5. Step 5: Solve for x
    x = 446,971.31/567.67
  6. Step 6: Final answer
    x = 787.39

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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.