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Finding the Fourth Proportional to 617.55, 926.22 and 309.08

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Solution

The fourth proportional to 617.55, 926.22 and 309.08 is: 463.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.55 : 926.22 = 309.08 : x
  2. Step 2: Convert to fraction form
    617.55/926.22 = 309.08/x
  3. Step 3: Cross multiply
    617.55x = 926.22 × 309.08
  4. Step 4: Simplify right side
    617.55x = 286,271.45
  5. Step 5: Solve for x
    x = 286,271.45/617.55
  6. Step 6: Final answer
    x = 463.56

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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.