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Finding the Fourth Proportional to 617.14, 925.80 and 309

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Solution

The fourth proportional to 617.14, 925.80 and 309 is: 463.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.14 : 925.80 = 309 : x
  2. Step 2: Convert to fraction form
    617.14/925.80 = 309/x
  3. Step 3: Cross multiply
    617.14x = 925.80 × 309
  4. Step 4: Simplify right side
    617.14x = 286,072.20
  5. Step 5: Solve for x
    x = 286,072.20/617.14
  6. Step 6: Final answer
    x = 463.55

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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.