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Finding the Fourth Proportional to 296.88, 407.46 and 264.12

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Solution

The fourth proportional to 296.88, 407.46 and 264.12 is: 362.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.88 : 407.46 = 264.12 : x
  2. Step 2: Convert to fraction form
    296.88/407.46 = 264.12/x
  3. Step 3: Cross multiply
    296.88x = 407.46 × 264.12
  4. Step 4: Simplify right side
    296.88x = 107,618.34
  5. Step 5: Solve for x
    x = 107,618.34/296.88
  6. Step 6: Final answer
    x = 362.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.