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Finding the Fourth Proportional to 310.62, 468.09 and 307.86

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Solution

The fourth proportional to 310.62, 468.09 and 307.86 is: 463.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.62 : 468.09 = 307.86 : x
  2. Step 2: Convert to fraction form
    310.62/468.09 = 307.86/x
  3. Step 3: Cross multiply
    310.62x = 468.09 × 307.86
  4. Step 4: Simplify right side
    310.62x = 144,106.19
  5. Step 5: Solve for x
    x = 144,106.19/310.62
  6. Step 6: Final answer
    x = 463.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.