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Finding the Fourth Proportional to 617.28, 925.77 and 288.01

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Solution

The fourth proportional to 617.28, 925.77 and 288.01 is: 431.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.28 : 925.77 = 288.01 : x
  2. Step 2: Convert to fraction form
    617.28/925.77 = 288.01/x
  3. Step 3: Cross multiply
    617.28x = 925.77 × 288.01
  4. Step 4: Simplify right side
    617.28x = 266,631.02
  5. Step 5: Solve for x
    x = 266,631.02/617.28
  6. Step 6: Final answer
    x = 431.95

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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.