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Finding the Fourth Proportional to 431.46, 595.50 and 265.77

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Solution

The fourth proportional to 431.46, 595.50 and 265.77 is: 366.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.46 : 595.50 = 265.77 : x
  2. Step 2: Convert to fraction form
    431.46/595.50 = 265.77/x
  3. Step 3: Cross multiply
    431.46x = 595.50 × 265.77
  4. Step 4: Simplify right side
    431.46x = 158,266.04
  5. Step 5: Solve for x
    x = 158,266.04/431.46
  6. Step 6: Final answer
    x = 366.82

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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.