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Finding the Fourth Proportional to 617.46, 925.71 and 308.99

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Solution

The fourth proportional to 617.46, 925.71 and 308.99 is: 463.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.46 : 925.71 = 308.99 : x
  2. Step 2: Convert to fraction form
    617.46/925.71 = 308.99/x
  3. Step 3: Cross multiply
    617.46x = 925.71 × 308.99
  4. Step 4: Simplify right side
    617.46x = 286,030.50
  5. Step 5: Solve for x
    x = 286,030.50/617.46
  6. Step 6: Final answer
    x = 463.24

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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.