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Finding the Fourth Proportional to 407.66, 611.42 and 253.46

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Solution

The fourth proportional to 407.66, 611.42 and 253.46 is: 380.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.66 : 611.42 = 253.46 : x
  2. Step 2: Convert to fraction form
    407.66/611.42 = 253.46/x
  3. Step 3: Cross multiply
    407.66x = 611.42 × 253.46
  4. Step 4: Simplify right side
    407.66x = 154,970.51
  5. Step 5: Solve for x
    x = 154,970.51/407.66
  6. Step 6: Final answer
    x = 380.15

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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.