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Finding the Fourth Proportional to 310.14, 461.86 and 291.50

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Solution

The fourth proportional to 310.14, 461.86 and 291.50 is: 434.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.14 : 461.86 = 291.50 : x
  2. Step 2: Convert to fraction form
    310.14/461.86 = 291.50/x
  3. Step 3: Cross multiply
    310.14x = 461.86 × 291.50
  4. Step 4: Simplify right side
    310.14x = 134,632.19
  5. Step 5: Solve for x
    x = 134,632.19/310.14
  6. Step 6: Final answer
    x = 434.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.