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Finding the Fourth Proportional to 410.65, 566.85 and 253.31

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Solution

The fourth proportional to 410.65, 566.85 and 253.31 is: 349.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.65 : 566.85 = 253.31 : x
  2. Step 2: Convert to fraction form
    410.65/566.85 = 253.31/x
  3. Step 3: Cross multiply
    410.65x = 566.85 × 253.31
  4. Step 4: Simplify right side
    410.65x = 143,584.67
  5. Step 5: Solve for x
    x = 143,584.67/410.65
  6. Step 6: Final answer
    x = 349.66

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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.