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Finding the Fourth Proportional to 310.47, 466.61 and 296.07

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Solution

The fourth proportional to 310.47, 466.61 and 296.07 is: 444.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.47 : 466.61 = 296.07 : x
  2. Step 2: Convert to fraction form
    310.47/466.61 = 296.07/x
  3. Step 3: Cross multiply
    310.47x = 466.61 × 296.07
  4. Step 4: Simplify right side
    310.47x = 138,147.74
  5. Step 5: Solve for x
    x = 138,147.74/310.47
  6. Step 6: Final answer
    x = 444.96

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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.