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Finding the Fourth Proportional to 291.75, 435.49 and 257.15

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Solution

The fourth proportional to 291.75, 435.49 and 257.15 is: 383.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.75 : 435.49 = 257.15 : x
  2. Step 2: Convert to fraction form
    291.75/435.49 = 257.15/x
  3. Step 3: Cross multiply
    291.75x = 435.49 × 257.15
  4. Step 4: Simplify right side
    291.75x = 111,985.29
  5. Step 5: Solve for x
    x = 111,985.29/291.75
  6. Step 6: Final answer
    x = 383.84

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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.