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Finding the Fourth Proportional to 355.04, 490.32 and 289.76

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Solution

The fourth proportional to 355.04, 490.32 and 289.76 is: 400.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.04 : 490.32 = 289.76 : x
  2. Step 2: Convert to fraction form
    355.04/490.32 = 289.76/x
  3. Step 3: Cross multiply
    355.04x = 490.32 × 289.76
  4. Step 4: Simplify right side
    355.04x = 142,075.12
  5. Step 5: Solve for x
    x = 142,075.12/355.04
  6. Step 6: Final answer
    x = 400.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.