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Finding the Fourth Proportional to 455.04, 681.60 and 369.60

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Solution

The fourth proportional to 455.04, 681.60 and 369.60 is: 553.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.04 : 681.60 = 369.60 : x
  2. Step 2: Convert to fraction form
    455.04/681.60 = 369.60/x
  3. Step 3: Cross multiply
    455.04x = 681.60 × 369.60
  4. Step 4: Simplify right side
    455.04x = 251,919.36
  5. Step 5: Solve for x
    x = 251,919.36/455.04
  6. Step 6: Final answer
    x = 553.62

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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.