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Finding the Fourth Proportional to 431.78, 595.87 and 265.93

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Solution

The fourth proportional to 431.78, 595.87 and 265.93 is: 366.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.78 : 595.87 = 265.93 : x
  2. Step 2: Convert to fraction form
    431.78/595.87 = 265.93/x
  3. Step 3: Cross multiply
    431.78x = 595.87 × 265.93
  4. Step 4: Simplify right side
    431.78x = 158,458.38
  5. Step 5: Solve for x
    x = 158,458.38/431.78
  6. Step 6: Final answer
    x = 366.99

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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.