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Finding the Fourth Proportional to 904.87, 1,357.21 and 289.01

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Solution

The fourth proportional to 904.87, 1,357.21 and 289.01 is: 433.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.87 : 1,357.21 = 289.01 : x
  2. Step 2: Convert to fraction form
    904.87/1,357.21 = 289.01/x
  3. Step 3: Cross multiply
    904.87x = 1,357.21 × 289.01
  4. Step 4: Simplify right side
    904.87x = 392,251.02
  5. Step 5: Solve for x
    x = 392,251.02/904.87
  6. Step 6: Final answer
    x = 433.49

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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.