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Finding the Fourth Proportional to 905.01, 1,357.56 and 288.76

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Solution

The fourth proportional to 905.01, 1,357.56 and 288.76 is: 433.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.01 : 1,357.56 = 288.76 : x
  2. Step 2: Convert to fraction form
    905.01/1,357.56 = 288.76/x
  3. Step 3: Cross multiply
    905.01x = 1,357.56 × 288.76
  4. Step 4: Simplify right side
    905.01x = 392,009.03
  5. Step 5: Solve for x
    x = 392,009.03/905.01
  6. Step 6: Final answer
    x = 433.15

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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.