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Finding the Fourth Proportional to 319.50, 477.86 and 296.15

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Solution

The fourth proportional to 319.50, 477.86 and 296.15 is: 442.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.50 : 477.86 = 296.15 : x
  2. Step 2: Convert to fraction form
    319.50/477.86 = 296.15/x
  3. Step 3: Cross multiply
    319.50x = 477.86 × 296.15
  4. Step 4: Simplify right side
    319.50x = 141,516.76
  5. Step 5: Solve for x
    x = 141,516.76/319.50
  6. Step 6: Final answer
    x = 442.93

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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.