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Finding the Fourth Proportional to 291.66, 437.73 and 257.50

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Solution

The fourth proportional to 291.66, 437.73 and 257.50 is: 386.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.66 : 437.73 = 257.50 : x
  2. Step 2: Convert to fraction form
    291.66/437.73 = 257.50/x
  3. Step 3: Cross multiply
    291.66x = 437.73 × 257.50
  4. Step 4: Simplify right side
    291.66x = 112,715.48
  5. Step 5: Solve for x
    x = 112,715.48/291.66
  6. Step 6: Final answer
    x = 386.46

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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.