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Finding the Fourth Proportional to 440.39, 607.65 and 253.83

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Solution

The fourth proportional to 440.39, 607.65 and 253.83 is: 350.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.39 : 607.65 = 253.83 : x
  2. Step 2: Convert to fraction form
    440.39/607.65 = 253.83/x
  3. Step 3: Cross multiply
    440.39x = 607.65 × 253.83
  4. Step 4: Simplify right side
    440.39x = 154,239.80
  5. Step 5: Solve for x
    x = 154,239.80/440.39
  6. Step 6: Final answer
    x = 350.24

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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.