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Finding the Fourth Proportional to 535.37, 803.06 and 340.57

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Solution

The fourth proportional to 535.37, 803.06 and 340.57 is: 510.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.37 : 803.06 = 340.57 : x
  2. Step 2: Convert to fraction form
    535.37/803.06 = 340.57/x
  3. Step 3: Cross multiply
    535.37x = 803.06 × 340.57
  4. Step 4: Simplify right side
    535.37x = 273,498.14
  5. Step 5: Solve for x
    x = 273,498.14/535.37
  6. Step 6: Final answer
    x = 510.86

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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.