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Finding the Fourth Proportional to 905.23, 1,357.85 and 288.93

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Solution

The fourth proportional to 905.23, 1,357.85 and 288.93 is: 433.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.23 : 1,357.85 = 288.93 : x
  2. Step 2: Convert to fraction form
    905.23/1,357.85 = 288.93/x
  3. Step 3: Cross multiply
    905.23x = 1,357.85 × 288.93
  4. Step 4: Simplify right side
    905.23x = 392,323.60
  5. Step 5: Solve for x
    x = 392,323.60/905.23
  6. Step 6: Final answer
    x = 433.40

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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.