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Finding the Fourth Proportional to 617.60, 926.40 and 309

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Solution

The fourth proportional to 617.60, 926.40 and 309 is: 463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.60 : 926.40 = 309 : x
  2. Step 2: Convert to fraction form
    617.60/926.40 = 309/x
  3. Step 3: Cross multiply
    617.60x = 926.40 × 309
  4. Step 4: Simplify right side
    617.60x = 286,257.60
  5. Step 5: Solve for x
    x = 286,257.60/617.60
  6. Step 6: Final answer
    x = 463.50

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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.