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Finding the Fourth Proportional to 567.90, 782.64 and 535.50

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Solution

The fourth proportional to 567.90, 782.64 and 535.50 is: 737.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.90 : 782.64 = 535.50 : x
  2. Step 2: Convert to fraction form
    567.90/782.64 = 535.50/x
  3. Step 3: Cross multiply
    567.90x = 782.64 × 535.50
  4. Step 4: Simplify right side
    567.90x = 419,103.72
  5. Step 5: Solve for x
    x = 419,103.72/567.90
  6. Step 6: Final answer
    x = 737.99

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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.