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Finding the Fourth Proportional to 440.51, 607.65 and 285.26

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Solution

The fourth proportional to 440.51, 607.65 and 285.26 is: 393.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.51 : 607.65 = 285.26 : x
  2. Step 2: Convert to fraction form
    440.51/607.65 = 285.26/x
  3. Step 3: Cross multiply
    440.51x = 607.65 × 285.26
  4. Step 4: Simplify right side
    440.51x = 173,338.24
  5. Step 5: Solve for x
    x = 173,338.24/440.51
  6. Step 6: Final answer
    x = 393.49

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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.