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Finding the Fourth Proportional to 455.04, 627.75 and 280.53

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Solution

The fourth proportional to 455.04, 627.75 and 280.53 is: 387.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.04 : 627.75 = 280.53 : x
  2. Step 2: Convert to fraction form
    455.04/627.75 = 280.53/x
  3. Step 3: Cross multiply
    455.04x = 627.75 × 280.53
  4. Step 4: Simplify right side
    455.04x = 176,102.71
  5. Step 5: Solve for x
    x = 176,102.71/455.04
  6. Step 6: Final answer
    x = 387.00

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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.