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Finding the Fourth Proportional to 410.46, 566.46 and 235.86

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Solution

The fourth proportional to 410.46, 566.46 and 235.86 is: 325.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.46 : 566.46 = 235.86 : x
  2. Step 2: Convert to fraction form
    410.46/566.46 = 235.86/x
  3. Step 3: Cross multiply
    410.46x = 566.46 × 235.86
  4. Step 4: Simplify right side
    410.46x = 133,605.26
  5. Step 5: Solve for x
    x = 133,605.26/410.46
  6. Step 6: Final answer
    x = 325.50

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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.