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Finding the Fourth Proportional to 291.48, 434.94 and 265.56

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Solution

The fourth proportional to 291.48, 434.94 and 265.56 is: 396.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.48 : 434.94 = 265.56 : x
  2. Step 2: Convert to fraction form
    291.48/434.94 = 265.56/x
  3. Step 3: Cross multiply
    291.48x = 434.94 × 265.56
  4. Step 4: Simplify right side
    291.48x = 115,502.67
  5. Step 5: Solve for x
    x = 115,502.67/291.48
  6. Step 6: Final answer
    x = 396.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.