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Finding the Fourth Proportional to 431.61, 647.64 and 277.08

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Solution

The fourth proportional to 431.61, 647.64 and 277.08 is: 415.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.61 : 647.64 = 277.08 : x
  2. Step 2: Convert to fraction form
    431.61/647.64 = 277.08/x
  3. Step 3: Cross multiply
    431.61x = 647.64 × 277.08
  4. Step 4: Simplify right side
    431.61x = 179,448.09
  5. Step 5: Solve for x
    x = 179,448.09/431.61
  6. Step 6: Final answer
    x = 415.76

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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.