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Finding the Fourth Proportional to 945.29, 1,417.86 and 296

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Solution

The fourth proportional to 945.29, 1,417.86 and 296 is: 443.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.29 : 1,417.86 = 296 : x
  2. Step 2: Convert to fraction form
    945.29/1,417.86 = 296/x
  3. Step 3: Cross multiply
    945.29x = 1,417.86 × 296
  4. Step 4: Simplify right side
    945.29x = 419,686.56
  5. Step 5: Solve for x
    x = 419,686.56/945.29
  6. Step 6: Final answer
    x = 443.98

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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.