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Finding the Fourth Proportional to 291.46, 435.13 and 259.06

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Solution

The fourth proportional to 291.46, 435.13 and 259.06 is: 386.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.46 : 435.13 = 259.06 : x
  2. Step 2: Convert to fraction form
    291.46/435.13 = 259.06/x
  3. Step 3: Cross multiply
    291.46x = 435.13 × 259.06
  4. Step 4: Simplify right side
    291.46x = 112,724.78
  5. Step 5: Solve for x
    x = 112,724.78/291.46
  6. Step 6: Final answer
    x = 386.76

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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.