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Finding the Fourth Proportional to 595.29, 896.15 and 535.75

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Solution

The fourth proportional to 595.29, 896.15 and 535.75 is: 806.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.29 : 896.15 = 535.75 : x
  2. Step 2: Convert to fraction form
    595.29/896.15 = 535.75/x
  3. Step 3: Cross multiply
    595.29x = 896.15 × 535.75
  4. Step 4: Simplify right side
    595.29x = 480,112.36
  5. Step 5: Solve for x
    x = 480,112.36/595.29
  6. Step 6: Final answer
    x = 806.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.