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Finding the Fourth Proportional to 904.45, 1,357.06 and 288.20

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Solution

The fourth proportional to 904.45, 1,357.06 and 288.20 is: 432.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.45 : 1,357.06 = 288.20 : x
  2. Step 2: Convert to fraction form
    904.45/1,357.06 = 288.20/x
  3. Step 3: Cross multiply
    904.45x = 1,357.06 × 288.20
  4. Step 4: Simplify right side
    904.45x = 391,107.36
  5. Step 5: Solve for x
    x = 391,107.36/904.45
  6. Step 6: Final answer
    x = 432.43

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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.