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Finding the Fourth Proportional to 569.32, 847.67 and 535.50

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Solution

The fourth proportional to 569.32, 847.67 and 535.50 is: 797.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.32 : 847.67 = 535.50 : x
  2. Step 2: Convert to fraction form
    569.32/847.67 = 535.50/x
  3. Step 3: Cross multiply
    569.32x = 847.67 × 535.50
  4. Step 4: Simplify right side
    569.32x = 453,927.29
  5. Step 5: Solve for x
    x = 453,927.29/569.32
  6. Step 6: Final answer
    x = 797.31

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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.