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Finding the Fourth Proportional to 904.13, 1,355.57 and 356.37

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Solution

The fourth proportional to 904.13, 1,355.57 and 356.37 is: 534.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.13 : 1,355.57 = 356.37 : x
  2. Step 2: Convert to fraction form
    904.13/1,355.57 = 356.37/x
  3. Step 3: Cross multiply
    904.13x = 1,355.57 × 356.37
  4. Step 4: Simplify right side
    904.13x = 483,082.70
  5. Step 5: Solve for x
    x = 483,082.70/904.13
  6. Step 6: Final answer
    x = 534.31

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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.